text
stringlengths 0
190k
|
|---|
0705.2548.txt |@word limited:1 angles:52 pointing:1 directions:1 magnetic:2 lack:3 results:24 leads:1 scalar:1 selection:2 per:1 cooperative:1 suspected:1 morphology:1 perturbations:1 universities:1 nwo:1 weakly:1 issues:2 consider:1 compact:3 excludes:1 simon:1 depend:2 technique:1 young:2 removal:3 supported:1 finally:3 stockman:3 under:5 zensus:3 berriman:2 indicating:1 ra:3 case:2 global:1 ωpix:1 mpc:2 very:5 keeping:2 choice:5 network:1 every:1 ralston:4 affect:3 difference:8 four:1 school:1 dio:1 beginning:1 kovalev:6 presented:7 did:1 positions:5 who:1 biggs:1 cmb:2 large:16 vector:2 science:1 small:9 manchester:2 noted:3 falco:1 programme:2 aeronautics:1 work:2 occurrence:2 trend:1 consistent:2 measurable:1 literature:1 sign:3 past:1 zero:3 10s:1 ruled:1 implemented:2 jvas:24 quite:1 calibrators:3 even:2 index:1 what:1 errors:10 sorathia:1 sub:3 section:5 hutsemekers:1 orski:2 paying:1 poles:2 localized:1 above:2 sixth:1 3c:4 values:7 construction:1 method:3 contrast:3 3d:1 body:1 agreement:1 full:2 archives:1 degree:3 whose:1 respectively:11 realizations:10 residual:5 here:1 understanding:1 behaviour:2 fluke:1 objects:30 web:1 groups:1 address:2 active:3 consideration:1 along:1 strong:1 observing:2 appears:1 wandelt:1 suggest:2 obtained:11 search:4 dec:1 parameters:1 division:1 institute:1 involved:1 vectors:5 era:1 completely:3 reports:2 example:1 ctd:1 suggests:1 amount:1 survey:3 cta:1 suggestion:1 pick:1 suitable:1 studies:1 plotted:2 barvainis:1 wardle:4 useful:2 divide:2 scales:7 9a:1 explained:1 compare:1 marked:1 highly:1 apj:8 visible:1 gordon:5 apply:2 total:4 unit:1 predicted:1 plot:2 use:8 eye:1 figure:14 would:14 physics:1 probabilities:2 chi:7 objectives:1 negative:2 comparing:4 examination:2 therefore:6 taken:1 robertson:1 type:3 prep:3 blazars:2 more:13 flat:6 comparison:3 successful:1 conclusions:1 apparent:3 emission:2 visibility:1 bruyn:1 instrumental:3 tested:1 appendix:2 fassnacht:3 particular:2 known:1 aligned:18 producing:2 nbins:1 hints:1 high:9 none:3 100s:1 ma:2 anything:1 mm:2 pollack:2 mn:1 slices:1 remain:1 bias:6 obvious:7 three:1 freedom:1 following:1 webster:2 hansen:1 gravitationally:1 deg:3 claim:4 dedicated:1 reasonably:1 cosmological:5 give:2 process:1 carroll:2 conspire:1 sample:19 indicates:1 caused:1 performed:11 arise:1 interpreted:1 occur:1 calculated:1 axis:1 information:10 ones:2 varied:1 healey:1 rather:2 technology:1 divided:1 thousands:2 bunn:2 regions:22 vla:6 methodology:1 rudnick:2 models:1 opposite:2 significance:4 tile:1 lamy:3 parameter:2 sin:1 circular:1 suffer:1 astroph:1 galactic:8 description:1 sluse:1 may:5 advice:1 earlier:1 derived:3 containing:3 wrong:1 plane:2 designed:1 fits:1 eisenstein:1 beasley:2 data:40 preferentially:1 physical:2 westerbork:4 ss:2 light:2 sq:7 spectra:1 elongation:2 ghz:14 garrington:1 marlow:1 generic:1 helmboldt:2 cannot:3 so:4 jain:3 correlation:6 lined:1 mjy:4 bins:4 typical:1 wavelengths:4 eron:4 numbers:5 administration:1 over:6 despite:1 displayed:1 expects:1 years:1 produced:2 course:1 paper:10 through:3 statistical:7 signs:1 browne:11 its:1 galaxy:2 perfect:1 huterer:1 style:1 derive:1 exclusion:1 fit:1 maps:2 chosen:1 interesting:1 facility:1 epoch:1 better:1 absence:1 primordial:1 degrees:3 fig:14 latitude:1 covered:2 main:1 might:6 pixel:9 orientated:1 non:8 good:2 mechanisms:2 greater:4 nside:1 severely:1 polatidis:4 polarizations:19 practice:1 aes:1 often:1 framework:1 effects:6 they:12 half:1 rotation:14 discuss:1 bank:2 overlap:1 represents:2 february:2 netherlands:2 hereafter:1 cawthorne:2 profound:2 university:2 level:3 identified:1 2d:2 gehrels:1 each:9 aligns:1 found:11 feeds:2 calibrations:2 mean:2 few:1 square:1 another:1 weight:1 populated:1 catalogues:1 scheme:1 ef:1 reduce:1 gaussian:2 used:8 macmillan:1 interferometer:1 extended:2 expect:2 calibrate:1 measurement:2 substantially:1 our:13 hutsem:29 cabanac:1 special:1 out:13 shown:8 jackson:5 missed:1 space:2 quantify:1 since:9 rev:7 unknown:1 research:4 looking:1 re:2 investigation:1 dominated:1 vlbi:6 frequently:1 xu:4 cause:1 viable:1 shows:10 sk11:1 foundation:3 linear:6 offsets:2 southern:1 romani:1 confidence:1 galaxies:2 given:4 possibility:2 standard:1 reason:1 kochanek:1 california:1 radioquiet:1 training:1 estimate:1 predict:1 nvss:1 saha:1 could:6 cosmic:1 feasible:1 thing:1 produce:3 isotropic:1 assumed:1 hence:3 undergo:1 loud:2 think:2 south:3 first:4 kendall:2 there:26 probability:8 third:1 powerful:1 number:17 explored:1 randomized:2 smaller:4 done:6 approximately:1 directly:1 battye:3 loredo:1 array:2 angular:1 size:5 passes:2 surveys:6 lister:4 checked:3 flanagan:1 jet:24 indicate:1 introduction:1 concentrating:1 top:4 histograms:9 system:5 adopted:1 name:1 their:9 assumption:1 observations:7 realization:2 percentage:4 wilkinson:13 structures:5 too:1 collapse:1 mostly:1 deconvolution:1 explanation:1 exactly:1 lists:1 part:2 kardashev:1 authors:1 occurring:2 believe:2 weintraub:1 than:17 observed:12 colleagues:1 observatory:2 target:1 showed:1 ipac:1 require:1 depends:4 roberts:2 individual:1 polarizes:1 aas:1 were:19 gives:2 treated:1 distinguished:1 failing:2 aller:2 angel:2 reanalysis:1 cohen:3 mind:1 spectrum:3 needs:1 randomly:3 already:1 astrophysical:2 unlikely:2 cleaned:1 need:1 quasars:8 seem:1 null:1 any:13 relatively:2 lie:1 issue:1 angle:23 refute:1 latter:1 able:2 mechanism:4 predominantly:1 polarization:68 majority:4 fitting:2 promising:1 kiloparsec:1 online:1 finding:4 destroy:2 operated:3 something:1 accuracy:1 spectral:1 begin:1 towards:2 a3:6 though:2 conclusively:1 measures:4 systems:1 most:3 petrov:7 detect:4 thank:1 printed:1 significant:6 position:65 phase:1 antonucci:1 sophisticated:1 intrinsic:4 class:26 stands:3 latex:1 deviations:3 observation:1 surprising:1 considered:1 incomplete:1 clear:5 later:1 implications:2 inferred:1 order:5 looked:2 curie:1 optical:28 wasserman:1 error:8 clean:6 constrain:1 left:6 typically:1 ned:2 fact:4 axes:2 particularly:2 intensity:1 show:6 random:27 schuecker:1 discussion:1 rotating:1 radio:54 schmidt:1 carefully:1 uniform:10 randomize:1 find:11 realizing:1 peck:1 based:4 northern:1 implementation:1 distributed:2 catalogue:1 should:6 failed:1 only:3 mrtn:1 employed:1 local:3 columns:1 do:9 tiles:1 sjouwerman:1 michelson:1 morales:2 means:3 dependent:4 nobj:4 dd:1 de:1 overall:1 account:1 preferred:1 likely:2 define:2 polarized:8 words:1 3b:1 during:1 table:9 averaged:1 areas:7 homan:1 reveal:1 runs:2 pearson:7 norbury:1 densities:2 covering:1 numerous:1 arxiv:1 median:1 pixelation:1 european:1 summary:1 arrays:1 investigate:2 cheshire:1 common:5 contain:1 fainter:1 including:1 explanations:1 op:5 signatures:1 9dl:1 computed:1 observer:1 starkman:1 national:3 correlations:3 astrometry:1 lett:6 maximum:1 detection:2 edition:1 see:14 decided:2 result:7 enhanced:1 fail:5 close:1 seems:1 still:1 interacting:1 extragalactic:4 propulsion:1 away:1 missing:1 recalibration:1 initially:2 enough:1 convince:1 tendency:3 correctly:1 between:16 tens:2 drawn:2 previous:1 approach:1 across:1 joshi:10 available:4 observational:1 comparable:1 attention:1 recently:2 statistically:3 relative:1 nature:1 targeted:2 healpix:5 emitted:1 points:1 however:13 acknowledgements:1 zavala:3 hypothesis:3 key:1 jets:5 pixels:13 jc:1 concentrated:1 both:4 cos:1 10th:1 indiscriminately:1 successes:7 lensed:1 region:12 uncertainty:1 tremblay:1 equal:2 against:2 sensitive:2 henstock:3 flatspectrum:1 argue:1 whole:5 grounds:2 magueijo:2 relevant:1 jcap:1 point:1 simple:2 had:3 das:2 excess:4 community:1 walk:7 satisfaction:1 analyzed:3 taylor:9 ravi:1 adaptation:1 iterations:1 faraday:6 prominent:1 diff:2 pseudoscalar:1 smith:4 wsrt:4 described:3 second:1 basis:1 addition:1 west:3 wills:5 locally:1 due:2 been:16 sheth:1 extraction:1 much:4 combined:1 expected:8 ph:3 pi:1 estimated:1 choose:2 respectively1:1 direction:7 arises:1 general:1 attacked:2 ros:2 thousand:2 coherence:1 1mjy:1 neighbour:13 coherent:2 external:1 systematic:16 astron:2 last:1 careful:2 assigning:1 those:4 applied:2 east:3 uncertain:1 look:2 raw:1 solid:2 npix:2 reliable:2 prominence:1 value:4 choices:1 will:5 near:3 aez:1 many:1 munoz:1 manner:1 bin:2 larger:2 almost:2 simulations:1 thus:8 them:1 apjs:7 according:1 ii:1 middle:1 examined:2 contract:2 seen:2 claimed:5 affected:1 argues:1 alone:1 rusin:1 cetty:1 different:17 pas:9 inc:1 combination:1 propagation:4 perhaps:5 things:2 make:3 radiation:6 cross:1 same:12 clearly:2 benign:1 stimulated:1 parts:2 changed:1 split:2 widely:1 accumulating:1 resulting:1 several:2 readhead:7 higher:1 independent:2 investigated:2 peaks:4 friedmann:1 upon:2 effect:12 marie:1 hand:7 average:2 v2:1 levels:1 uses:1 birch:6 dust:1 phinney:2 totally:1 relies:1 lower:1 myers:4 database:2 calibration:11 analysis:15 thought:1 telescope:1 without:1 residuals:1 coordinate:6 undertaken:2 model:2 blandford:2 arising:1 latest:1 distances:2 less:6 being:8 quasar:2 accurate:2 hands:1 obtain:1 sources:35 shape:1 identify:2 thanks:1 scattering:1 yet:1 alignment:8 projection:3 adding:1 comparisons:1 preprint:3 density:4 photons:1 conclude:3 sky:19 mcmillan:1 jodrell:2 source:5 ska:1 nor:1 samples:10 apart:1 disproportionate:1 nasa:2 real:14 tests:7 around:4 patnaik:4 showing:2 origin:3 possible:5 oj:1 mon:1 background:2 breger:1 using:18 moreover:1 rear:1 correlated:4 visvanathan:2 imposed:1 like:2 success:1 sizes:4 systematically:5 future:1 specific:1 flux:9 4c:1 perley:1 either:5 particles:1 works:1 alignments:25 preclude:1 therein:1 banday:2 because:8 clusters:2 kiloparsecs:1 oriented:1 plausible:1 some:5 ct:1 understood:1 wrobel:3 added:1 complete:1 redshifts:2 little:1 reasons:1 separately:1 scale:10 lead:4 bottom:4 support:2 avoid:1 measurements:15 extensively:1 microwave:1 when:6 does:4 4ghz:1 assuming:2 gurvits:1 propagating:1 mullan:1 schwarz:2 measuring:1 destroys:1 object:5 scientific:1 vermeulen:6 slight:2 problems:1 equivalent:1 aj:8 perpendicular:2 host:1 biases:3 lobanov:1 kellermann:2 macclesfield:1 targeting:1 properties:1 copi:1 panel:9 stokes:3 about:2 neighbours:2 uniformity:11 bars:6 package:2 universe:3 discussed:2 generated:1 o:2 reduced:1 compatible:4 range:2 misleading:1 stand:2 positive:1 gles:1 software:2 subset:1 soc:1 own:2 plenty:1 redshift:16 previously:1 into:5 within:6 rotations:2 interstellar:2 dataset:1 appropriate:2 right:5 references:1 primarily:2 detectable:1 quiet:2 reinecke:1 significantly:5 clustering:3 robust:1 statistics:4 muxlow:2 area:3 measured:7 astrometric:1 initial:2 question:2 approximate:1 why:1 dispersion:2 pa:26 low:10 way:2 kadler:2 was:13 synthesis:2 synchrotron:1 survives:1 bartelmann:1 north:4 elsewhere:1 form:3 proportionately:1 laboratory:1 differences:4 analyse:1 but:12 histogram:19 astro:3 failure:1 hh:1 land:2 cotter:1 mnras:9 line:6 true:1 production:1 gabuzda:5 made:6 fects:1 largest:2 evident:1 whether:2 gravitational:1 koopmans:1 up:2 us:2 nearest:14 scranton:1 note:2 frequency:3 approaches:1 fluctuations:2 distribution:36 panels:4 similar:3 agree:1 distance:1 strongly:2 gone:1 fomalont:6 celestial:3 associated:1 moore:2 defined:8 likewise:1 abstract:1 measure:2 evidence:8 examine:1 exist:1 file:1 wavelength:1 nbin:5 parsec:4 distributions:1 check:1 constructed:1 incorrect:2 again:6 marking:1 compared:4 no:18 amounts:1 dashed:2 whereas:1 generally:2 ekers:30 field:4 other:5 compares:1 details:2 nat:2 spatial:1 test:42 sykes:1 poor:1 briefly:3 hivon:1 leahy:1 sullivan:1 extra:1 searched:2 uniformly:2 a1:9 chance:3 peak:2 coverage:1 variable:1 ranges:1 astronomy:3 aitoff:3 jones:2 agn:1 suffers:2 align:2 corresponding:1 normally:1 required:3 mask:1 together:2 having:9 declination:1 fitted:1 time:2 walker:2 failures:1 nuclei:1 resolution:2 original:1
|
0705.2549.txt |@word secondly:2 childs:1 consider:5 rev:8 results:3 computation:1 edu:1 unambiguity:1 hold:1 tz:1 paris:1 ρσi:4 tr:4 finally:1 program:1 under:1 norm:4 ın:1 applied:1 orthogonal:7 very:1 focus:1 decide:1 application:1 exact:3 condition:11 school:1 notes:1 solution:2 try:1 vector:13 section:1 eigenvalues:5 upper:1 specially:3 hillery:1 horn:2 discriminated:6 second:1 value:5 further:1 kitagawa:1 theory:1 spectral:1 diag:1 sum:3 jaeger:1 above:9 new:2 method:2 ibid:5 respectively:7 guangzhou:1 feng:1 here:1 explore:1 china:2 address:3 represented:1 obtained:3 elaborate:1 vectors:6 p2:36 twamley:1 suitable:1 formulated:1 useful:3 owed:1 herzog:1 addressed:3 unitary:5 qd2:1 research:1 unit:1 readily:2 use:4 sacchi:6 would:1 probabilities:2 remainder:1 next:2 noting:3 call:2 therefore:6 m2:9 selects:1 more:7 operators:9 visual:5 particular:3 known:1 cases:2 ρun:1 iii:3 derivation:1 springer:1 science:3 equation:1 work:4 values:1 mr:1 following:7 duan:1 example:2 proof:10 wang:1 give:7 calculation:1 preserving:1 organized:1 states:17 minimum:19 numbers:2 distinguishable:14 information:3 verify:1 acts:1 how:1 nontrivial:3 pure:5 opt:2 optimal:3 belongs:1 map:1 renes:1 flip:6 may:2 ancilla:1 derived:1 ρei:1 representations:2 ρej:1 unentangled:1 natural:2 johnson:2 correspond:1 element:1 fundamental:1 representation:8 bipartite:2 operations:40 holds:2 indeed:1 pointed:2 insight:1 inconclusive:1 paper:3 its:1 before:2 perfect:4 interesting:1 li:1 systems:3 mail:1 maximal:4 them:4 hunter:1 nonorthogonal:2 introduce:2 they:4 now:4 discuss:1 nos:1 easily:1 february:1 2p:6 always:5 university:4 each:1 found:3 higher:1 characterized:1 schemes:1 ei:12 ej:8 reduce:1 principles:1 measurement:4 quantum:49 our:2 operation:3 eq:8 special:3 out:3 matrix:5 space:4 furthermore:1 rx:14 ry:14 rz:14 denotes:3 increase:1 acting:1 hill:1 reader:1 denoted:1 lecture:1 ref:2 ri:1 foundation:3 linear:5 reformulated:1 hull:1 possibility:1 analytical:1 threedimensional:1 york:2 enhance:2 e1:35 e2:35 depolarizing:2 qj:5 r0:7 r1:13 r2:13 r3:8 omit:1 turn:1 isotropic:4 δij:1 first:4 origin:1 already:1 probability:18 rudin:1 channels:19 another:2 ying:2 electronic:1 given:10 needed:2 introduction:1 mcgraw:1 eqs:2 system:4 adopted:1 their:7 assumption:1 1d:1 perfectly:18 a33:2 a32:2 a31:2 tuple:2 completed:1 exactly:1 part:3 authors:1 x2:1 completes:2 kind:1 scheme:1 showed:1 likely:2 discriminating:12 determined:1 contrary:1 amplitude:1 were:2 outcome:1 generality:1 exploring:2 anm:1 topics:1 need:1 seen:2 constrained:1 any:10 zero:1 min:2 note:5 other:3 generalized:4 finding:2 channel:1 ivanovic:1 province:1 trace:2 normal:1 paid:1 most:2 said:2 phase:5 class:1 considered:5 later:1 typically:1 assisted:2 fact:2 show:2 supported:1 relation:1 d2:4 q1:3 q0:5 q3:3 q2:3 based:4 state:15 than:1 lemma:6 only:10 explicitly:1 captures:1 extremum:1 notation:2 get:4 sysu:1 de:1 applying:1 arxiv:1 preliminarily:1 whether:1 common:3 qi:19 implication:1 fixed:2 discussing:1 qn:4 guessing:2 set:7 computed:2 exists:1 achieved:4 bergou:1 national:1 distinguishability:3 detection:1 see:4 computer:1 sec:3 result:1 visualize:2 ways:1 review:1 written:1 between:7 approach:1 recently:1 however:8 recall:1 both:2 σi:9 density:3 σz:3 σy:3 σx:3 dated:1 lo:2 qubit:18 estimation:2 among:1 cn:2 characterization:1 corresponds:1 dimensional:3 lagrange:1 transformations:5 addition:1 discrimination:25 three:1 been:2 strategy:21 ai:1 much:1 damping:2 pe:16 ph:2 ariano:3 corresponding:2 σj:2 sufficient:5 else:1 c3:2 c2:7 c1:7 general:10 case:5 encircles:1 p1:36 unlike:1 pacs:1 evaluated:4 ministry:1 will:4 euclidean:1 suppose:4 error:19 aid:1 a21:2 a22:2 a23:2 vol:1 refs:3 thus:6 non:9 iv:2 ii:6 ik:1 properties:1 verified:2 make:1 clearly:1 quant:2 pauli:21 largest:1 party:1 finite:1 difficult:1 used:1 numerical:5 effect:1 hand:2 necessity:1 entanglement:16 identity:1 recent:1 eigenvectors:1 presti:2 task:1 well:2 analysis:3 academic:1 without:2 solve:1 firstly:5 entangled:8 just:2 being:1 generally:3 λi:2 conclusions:2 unambiguously:1 lett:5 easy:3 theorem:9 input:14 takeoka:1 transformation:2 chuang:1 gave:2 real:4 nielsen:1 eigenvalue:2 evaluate:1 possible:2 spanned:1 know:6 press:4 using:4 bit:4 unique:1 mod:1 loss:1 necessary:6 like:1 follows:7 reduces:2 output:4 preskill:1 mathematical:1 deal:1 people:1 some:10 convex:1 nonzero:1 minimax:1 does:1 refer:3 bf:1 dieks:1 equivalent:3 notably:2 bp:1 shimony:1 worthy:1 hilbert:2 gained:1 acb:1 about:1 getting:1 discussed:6 range:5 act:1 introduced:2 bloch:13 soc:1 cambridge:6 h2:2 into:1 chefles:3 bound:1 hermitian:1 square:1 operator:7 guangdong:1 unambiguous:3 span:2 support:2 there:5 u1:3 u2:3 way:4 m1:9 was:10 function:1 form:4 relaxed:1 sequel:1 denoting:1 hk:1 true:1 made:1 compute:1 supp:5 characteristic:6 maximum:1 us:1 um:1 below:5 un:4 ui:4 uj:4 problem:18 similar:4 called:3 eigenvector:1 detailed:1 ac:1 ad:1 computing:1 defined:7 am:2 proven:1 denote:5 peres:1 single:17 qiu:2 ax:1 education:1 sasaki:1 qα:2 mutual:2 discriminate:1 polygon:1 no:7 whereas:2 when:6 detail:2 multipliers:1 field:1 priori:3 republic:1 details:1 department:1 helstrom:1 a11:2 a13:2 a12:2 problems:1 a1:1 important:2 allowing:1 max:23 implies:3 assume:1 physics:1 berlin:1 notion:2 oracle:1 n1:5 n2:5 starting:1
|
0705.2550.txt |@word aln:2 gw:6 monte:1 measurements:1 partial:1 springer:5 iǫ2:1 lack:2 splitting:19 uzbekistan:2 received:1 ge:1 latter:6 comments:1 zinc:11 consists:2 sci:1 contributions:1 hybridizing:1 localized:1 surf:1 semiconductor:1 certainly:1 terms:1 calculate:3 zone:3 technique:1 ergy:1 simplify:1 charge:2 critical:1 present:6 under:1 te:5 tb:1 vogl:1 norm:1 applied:2 r14:1 botton:1 very:4 blase:1 rise:1 alder:2 results:10 electron:5 poorer:2 figs:5 dispersions:6 refractive:2 experimentally:18 vasp:13 difference:9 exact:2 dim:1 34a:1 solves:1 presented:5 did:1 positions:3 guo:1 applicable:1 correct:5 large:1 solved:1 convenience:1 vector:1 aryasetiawan:1 small:7 eigenvalues:3 referred:1 inspection:2 noted:7 louie:1 concluded:1 application:1 zn:19 expanded:1 zh:2 broader:1 findings:14 srikant:1 ze:1 consistent:3 zg:1 coefficient:2 boca:1 ochl:2 decreasing:1 approximation:10 zero:3 christensen:4 design:1 displays:2 n31:1 qualitatively:1 gunnarsson:2 estimated:5 carlo:1 linear:4 even:3 index:2 64c:1 errors:3 plays:1 stands:1 completely:1 giving:2 fact:1 section:2 axes:1 brief:1 agrees:1 cell:2 consistently:1 experiment:5 above:3 b864:1 increasing:7 method:13 filled:2 3d:16 body:1 edited:7 full:4 altogether:1 exchange:5 perdew:3 respectively:1 wilk:2 component:3 orbitals:7 perpendicular:2 ranges:1 reported:1 ching:1 mev:1 gga:35 systematized:1 lew:1 consideration:3 along:3 strong:10 equations:1 yan:1 yadav:1 referring:1 box:2 sobolev:2 noticeable:1 technical:1 shift:7 study:4 studied:6 allows:2 approaches:3 commonly:1 spheres:1 dependencies:1 survey:1 crystallize:1 znse:29 chang:2 narrow:1 studies:5 hopfield:1 plotted:2 cardona:6 addresses:1 mobility:1 semiconductors:21 vii:2 joubert:1 uger:2 decrease:2 viz:3 apply:1 extinction:2 analyses:1 linearly:1 predicted:1 gaas:1 plot:1 use:4 projector:1 sharper:1 commun:1 probabilities:1 continuous:1 give:1 humphreys:1 quasi:1 tightly:1 optimize:1 discrepancies:1 m4:1 usu:1 examination:1 therefore:1 m2:1 taken:1 erwin:1 type:17 bethe:1 reflects:1 more:9 inorganic:1 schl:1 diamond:2 becomes:2 corrected:2 distribution:1 instrumental:1 visual:1 rigid:7 profiles:2 excellent:2 known:9 33d:1 hole:3 given:4 iii:11 cdse:1 graphical:1 high:5 account:1 indicates:1 ed:2 science:5 equation:1 work:3 reproduce:1 regions:2 values:15 thin:3 following:2 applies:1 ernzerhof:1 65e:1 conformity:1 example:2 performed:9 nearest:1 compare:1 schmitt:1 broadened:1 wang:1 ummer:1 chosen:1 calculation:2 ambrosch:1 inhomogeneity:1 magnitudes:1 neglected:1 originates:1 states:24 sphere:1 minimum:3 numbers:1 degenerate:1 past:1 made:1 occur:1 axis:2 information:2 dudarev:1 provide:3 oslo:4 discussion:2 adachi:2 feature:4 arrangement:1 sic:2 dependent:1 rubio:1 lundqvist:1 pure:1 dotted:2 parameter:2 fp:4 yoshikawa:1 description:2 may:1 earlier:1 derived:8 demanding:1 amorphous:1 hence:4 wrong:1 plane:2 rinke:1 quadratically:1 improving:1 computation:1 wave:7 data:34 parallel:2 lifting:1 ino:1 opti:1 dynamical:1 effective:3 computations:2 light:4 spectra:77 lines:22 summing:1 st:2 zns:30 beyer:1 si:1 pickett:1 so:62 fundamental:7 correlation:15 savrasov:2 znx:62 order:6 se:4 nearly:2 reproduced:2 interpretation:2 help:1 cleveland:1 muffin:5 muth:1 move:1 displayed:4 soc:1 cohen:2 interpreted:1 symbols:2 experiments:3 including:6 discrepancy:5 originate:1 yamaguchi:2 fwhm:1 its:2 dewhurst:1 chemical:4 transitions:17 group:8 probability:1 located:9 energies:24 lo:4 masses:2 solving:1 hanke:1 decreases:2 better:3 complex:1 fig:28 schilfgaarde:1 decreased:1 main:1 norway:3 ally:1 split:3 freeman:1 non:2 good:9 walle:1 pseudopotential:1 combination:3 murakami:1 material:1 dai:1 number:7 band:72 independent:1 effects:12 half:1 oxford:1 thus:3 comprised:1 transparent:1 dielectric:17 structural:2 eigenvalue:3 february:1 finite:1 34b:1 relationships:2 thankful:1 telluride:1 university:3 level:2 berlin:4 raton:1 l6:1 sufficiently:1 l4:1 vibrations:1 wurtzite:3 2b:1 radial:1 found:15 higher:14 out:7 side:1 lorentzian:1 mean:1 profile:1 en:1 financial:1 significantly:6 w18:2 series:5 energy:51 gaussian:2 related:5 deficiency:1 gaps:14 expect:1 reached:1 quantum:3 our:7 ev:41 eq:1 mat:1 shown:3 scheffler:1 matrix:1 space:1 gradient:2 electronic:11 furthermore:4 since:4 rev:47 research:1 increase:2 lide:1 orthonormalized:1 investigation:1 abinitio:1 constants:1 xu:1 ref:34 znte:35 burke:1 shows:10 smears:2 blindern:2 after:1 a1133:1 theory:6 interactions:2 bottommost:2 positional:3 uter:1 little:1 free:1 quite:4 asa:2 base:1 mobile:1 institut:1 e1:12 e0:11 e2:11 influences:1 interaction:7 retained:1 geometry:1 alouani:1 transition:1 linearized:2 benedict:1 mesh:1 64d:1 isotropic:3 unknown:1 corrections:2 uses:1 ionic:1 facilitate:1 neglect:3 first:10 origin:3 major:4 excitonic:1 features:8 symmetry:6 usuda:1 coming:3 primary:1 xe:1 smaller:2 simplified:1 reflectivity:15 another:2 semiempirical:1 comprises:1 scissors:1 thick:4 open:12 divided:4 separation:1 dispersive:3 overestimate:1 differ:4 perturbation:1 temperature:1 likely:1 utilization:1 introduction:2 dft:32 top:6 lapw:7 response:8 shirley:1 indicate:1 assumption:1 chem:4 observations:1 calculations:49 scheme:1 structures:11 zf:1 listed:1 shifted:4 originating:2 shell:1 statement:1 tashkent:1 centered:1 academy:1 relative:1 unoccupied:3 park:1 17a:1 persson:1 interband:3 part:12 ornstein:1 somewhat:2 authors:1 focusing:1 probably:2 stipulation:1 x6:1 than:23 coefficients:1 wide:1 polarized:3 third:5 accordance:1 sections:1 approximations:1 database:1 intensity:10 modelled:1 final:1 project:1 determined:14 intensities:5 zunger:5 were:10 monkhorst:1 toward:4 result:5 lowest:4 sees:2 solovyev:1 zno:54 correction:3 turned:1 locations:9 delin:4 kresse:2 mater:3 cibert:1 adele:1 exper:1 hohenberg:1 seen:8 concentration:1 constrained:1 occupied:2 their:1 rao:1 implemented:2 computationally:1 academic:1 lin:1 responsible:1 downwards:1 severe:4 sciences:1 ideal:3 potential:7 generalized:2 green:1 coincide:1 conductivity:1 relaxed:1 circles:11 spectral:2 play:5 differences:2 electric:2 centre:1 simulated:1 fails:1 convoluting:1 most:3 optimized:1 said:1 thank:1 significant:2 position:1 device:1 measured:7 overestimation:3 inconsistency:1 sub:1 bound:1 deviations:1 horie:1 especially:2 considered:7 calculated:65 brackets:1 kn:5 2nd:1 kr:3 assignments:1 optical:85 electrons:16 schulz:1 oscillates:1 physics:4 exx:2 insulators:1 show:2 labels:2 anyway:1 attempts:1 relation:4 cds:2 keywords:1 topmost:13 fine:2 d3:1 schmid:1 ground:2 removed:1 based:8 knowledge:2 parameters:18 wills:4 nusair:1 negligible:1 should:5 only:14 judged:1 molecules:1 indeed:1 sawatzky:1 local:8 kramer:1 columns:1 equilibrium:1 draxl:1 do:3 klein:1 means:2 blende:6 mainly:1 simplest:1 overall:1 distinguishes:1 inclusion:3 ones:3 brillouin:3 despite:1 selenide:1 dr:2 66b:1 66a:1 resolve:1 de:1 conclusion:2 arxiv:1 yield:1 acknowledgments:1 rotationally:1 crc:2 paper:1 common:1 photodetectors:1 london:1 fixed:2 inside:1 doublet:2 remains:2 inappropriately:1 set:5 computed:1 achieved:1 correlations:1 up:2 observed:4 see:9 us:1 thinner:1 close:3 expt:3 subject:1 closer:1 appear:2 phases:31 rigidly:3 inorg:1 tensor:1 compounds:5 phonons:1 subsequent:1 materials:2 state:11 various:1 between:13 invariant:1 subscript:3 reading:1 approach:5 crystallographic:1 available:6 gives:1 wd:1 wc:1 wb:1 nature:2 sole:1 ravindran:8 however:15 ascribed:4 council:1 incident:3 supercomputing:1 here:3 70th:1 analyzed:3 bragg:1 atoms:7 come:1 overestimated:7 improve:3 both:3 providing:1 improved:1 interstitial:2 met:1 many:4 salpeter:1 majewski:1 according:9 called:2 hamada:1 etc:2 involve:1 dated:1 interesting:1 exceeds:1 oleinik:1 contribution:1 adapted:1 37c:1 experimental:52 detailed:2 groups:1 cm:4 point:1 simple:1 cb:9 cf:7 cd:1 publishers:1 bader:1 table:11 crystalline:1 factors:1 points:5 ceperley:2 packages:1 described:2 transformations:1 second:5 basis:4 pz:1 gravity:4 px:1 py:1 due:1 been:33 screened:2 much:5 interest:1 basic:3 anisotropic:2 prototype:1 po:2 kotani:1 treatment:1 obtained:6 direction:2 corresponding:13 kronig:4 bandstructure:1 suppress:1 photon:1 new:5 gap:16 kramers:3 gan:2 agrawal:2 determination:1 systematic:2 general:3 spin:7 former:3 those:12 mang:1 case:3 johansson:3 p1:2 laser:2 ahuja:3 pacs:1 solid:17 falsifies:1 empirical:1 value:4 transformation:1 will:1 institute:1 while:4 optimization:1 momentum:2 shall:3 error:2 hybridization:2 region:6 procedure:1 pack:1 identical:2 vb:22 larger:4 elucidation:1 reddy:2 find:1 jpn:2 almost:5 vi:4 refs:13 kohn:5 them:1 systems:1 iv:5 ii:9 haensel:1 cond:1 accounting:2 technology:5 seem:1 around:1 orbital:2 different:3 hubbard:1 twofold:1 lmto:6 fkn:3 paw:12 lengths:2 references:1 make:1 lett:7 same:4 clearly:1 manuscript:1 shifts:1 parts:2 emphasize:1 widely:1 incorrectly:1 resulting:1 several:1 sham:4 status:2 fairly:2 used:11 semicore:1 peaks:29 cubic:1 assignment:1 numerical:3 upon:1 effect:1 reimann:1 parametrized:1 levels:5 conductors:1 appreciable:1 recent:1 frozen:2 lower:10 fourier:1 kept:1 center:5 analyzing:1 framework:1 solidi:2 changes:3 lambrecht:1 well:25 analysis:7 without:16 scissor:2 solids:4 edge:5 solve:1 comes:1 components:1 consistency:1 undertaken:1 model:1 chemistry:2 self:5 eriksson:4 spherical:1 imental:1 lda:96 construct:1 pseudopotentials:4 less:2 when:5 accurate:3 wagner:1 keeping:1 detail:1 shape:3 atomic:10 uller:2 multiorbital:1 weber:1 variants:1 previous:6 york:2 struct:1 candidate:1 density:7 zakharov:1 absorption:11 wei:4 character:1 except:1 weiss:1 boston:1 lattice:11 verse:1 location:12 reason:3 input:2 heavier:1 excited:1 match:2 gave:1 real:3 orling:1 explained:1 aspects:1 increased:1 x7:1 venugopal:1 bands:7 showing:1 svensson:2 disagreement:2 possible:1 harmonic:1 increases:3 grid:1 extrapolating:1 press:1 using:27 nanotechnology:1 accepted:1 correcting:1 madelung:4 occurring:2 generated:1 like:4 pollmann:2 reduces:1 performing:1 flapw:1 steps:1 displaces:1 james:1 underestimation:5 become:1 valence:4 soft:1 depend:1 del:1 optically:2 because:4 dordrecht:1 methods:3 bechstedt:2 some:8 somehow:2 presentation:1 segall:1 elements:3 shortcoming:1 respect:1 cdte:2 indirect:1 korotin:1 ferroelectric:1 pronounced:4 vol:3 total:1 recently:1 dimensions:1 lead:2 memories:1 highest:1 though:1 exceeding:1 per:1 equal:2 unit:2 provides:1 narayan:1 demonstrated:8 locate:2 core:4 particular:1 reasonable:1 broadening:4 bl:2 vertex:1 bn:1 each:5 aoyama:2 agreement:15 cryst:2 how:1 ǫkn:3 anisimov:1 although:3 similarity:1 imaginary:11 singlet:2 properties:17 meyer:1 comparison:2 about:2 vogel:2 package:8 column:13 slightly:2 discussed:3 dependence:4 o:17 neugebauer:1 practical:1 excitons:6 range:10 carrier:1 plus:3 asahi:1 neighbor:1 ong:1 bond:2 consequently:5 explicit:1 optoelectronic:1 software:1 conserving:1 computational:2 rectify:1 into:6 within:37 washington:1 functional:5 22a:1 three:5 chelikowsky:1 phase:1 accounts:1 operator:4 vosko:2 nowadays:1 theoretically:5 a3:1 van:2 comparing:1 distinctions:1 support:1 there:7 question:2 laskowski:1 agrement:1 dispersion:9 width:4 dong:1 appl:9 handbook:2 low:3 way:2 oneparticle:1 m1:1 analyze:4 was:15 eg:16 liang:1 function:21 underestimated:5 form:2 sutton:1 forming:1 adjusting:2 regard:1 removes:1 but:6 principles:1 volume:3 pj:1 repeated:1 magnitude:2 solar:1 convergence:1 hgte:1 ear:1 hg:1 pi:1 arranged:1 hybridized:1 whether:2 cells:1 take:1 maximum:3 devices:2 theoretical:12 crystal:4 below:2 growth:2 fermi:4 problem:6 similar:3 agree:11 clarke:1 meanfield:1 ab:11 associated:2 ag:3 int:1 inadequate:1 describe:2 influence:3 shoulders:7 4s:1 inn:1 ar:1 landolt:1 lcao:1 lifetime:2 moves:4 triangles:1 physical:1 incorrect:1 functions:6 compared:14 nn:1 no:4 dashed:6 whereas:3 generally:2 ne:1 rubber:1 field:5 tin:5 other:17 role:10 details:1 department:2 forcing:1 predominant:1 deviate:2 karlsruhe:1 expected:2 poor:1 polar:1 kluwer:1 permitting:1 excitation:2 initio:11 gas:1 problems:1 variation:1 includes:1 a1:1 exciton:1 bonding:3 important:9 a5:1 peak:15 ǫij:1 included:2 sharma:2 bohn:1 structure:29 upwards:1 coupling:39 coulomb:15 vice:1 established:1 required:1 holes:6 orbit:7 together:4 phonon:1 lying:1 volumes:1 broad:1 moreover:1 cores:1 resolution:3 furthm:2 augmented:3
|
0705.2551.txt |@word limited:1 colleges:1 managed:1 pointing:1 similarity:1 issued:1 results:3 unweighted:3 computation:1 edu:2 consists:1 sci:5 gh:1 whose:1 votes:1 inverse:1 depend:1 calculate:3 paris:1 effort:1 tr:1 opportunities:1 pricing:1 monotonically:1 helps:1 nodes:13 include:2 indicating:1 division:1 kudo:1 rational:1 wji:2 far:1 construction:1 maximized:1 amaral:2 sellers:2 every:2 minded:1 anonymous:1 mixing:4 matrices:1 minute:2 vladimir:1 knight:1 posts:1 joined:1 gopikrishnan:1 labels:3 announced:1 small:10 biological:2 ueda:1 inspection:1 its:1 scheinkman:1 des:1 nonrandom:1 ten:2 insignificant:1 consistent:2 prediction:1 empirical:2 chen:3 further:3 attributable:1 intermittence:1 investment:1 even:1 established:1 business:1 sun:1 sum:2 coef:2 binsize:1 reminiscent:1 experiment:29 above:1 scientists:1 new:3 net:11 increasing:2 consisting:2 contrast:1 coefficient:11 evolving:4 transportation:1 degree:29 exchange:7 respectively:2 never:1 drew:1 understanding:1 mixings:1 ching:1 groups:1 others:1 active:4 path:6 along:1 earthquake:1 logarithmic:1 institute:2 study:4 economics:1 leaving:1 suggests:1 amount:4 resulting:2 social:2 usually:1 opinion:2 gene:1 studies:1 taipei:4 powerlaw:2 via:1 followed:1 elaborated:1 wij:7 marked:2 outcomes:2 specified:1 decrease:2 frame:1 counts:1 market:12 yomo:1 plot:5 use:1 additive:1 wealth:7 working:1 positive:1 contains:1 predictions:1 centrality:4 stored:1 calculation:1 betweenness:5 therefore:2 december:2 black:1 means:1 markets:6 more:4 started:1 binding:1 econ:2 about:1 transient:1 mansfield:1 prizes:3 known:1 symmetrize:1 hold:1 iii:2 high:9 account:4 heterogeneity:2 origins:1 hour:1 characterize:1 science:2 setup:1 averaged:4 values:2 three:4 following:1 fulfill:1 averages:1 scatter:1 performed:1 spearman:1 wang:4 figure:4 process:1 attribute:1 organized:1 involve:1 indicates:4 summed:1 numbers:2 council:1 magnitudes:1 exclude:1 tai:2 tseng:2 information:4 end:4 decaying:2 rather:1 discussion:1 six:1 ping:1 feature:1 srinivasan:1 very:1 winners:3 earnings:2 instead:1 undertook:1 sato:1 lai:1 may:5 after:2 minimized:1 tied:1 reflect:1 applications:1 fb:1 designed:1 bioinformatics:1 fits:2 requirements:1 law:22 data:5 parallel:2 efficiently:1 short:1 natural:1 light:1 futures:9 lines:2 assign:1 complexity:6 fictitious:2 so:3 correlation:4 american:1 addiction:1 matsuyama:1 order:4 hashimoto:1 saturated:1 help:1 sood:1 hierarchy:1 constituents:1 over:1 find:2 facilitated:1 nonparametric:1 trade:1 course:1 paper:1 including:2 same:4 statistical:1 still:1 ieee:2 smallworld:1 disagreed:1 jie:1 fit:4 decay:3 chosen:1 interesting:1 exhibits:1 li:4 better:3 platform:1 offers:1 degrees:8 systems:9 fin:1 versus:2 freeman:1 them:2 nsc:2 finance:2 similar:1 largest:1 flew:1 encouraging:1 newman:3 example:1 effects:1 they:1 communities:11 yu:1 day:26 matched:1 easily:1 edge:2 university:3 proteins:1 identified:1 intrigued:1 victory:1 kout:2 each:5 found:12 identifies:1 alea:1 characterized:1 mean:2 weighted:8 financial:5 mental:1 chung:1 independent:2 series:4 allan:1 related:1 society:1 frequency:2 trading:9 expect:1 our:8 pareto:1 eq:1 event:1 out:4 canada:1 shown:7 networked:1 network:44 factors:1 furthermore:3 since:1 squared:1 disassortative:4 research:2 increase:2 propensity:1 participants:6 health:1 γout:1 emerged:4 internet:1 suggesting:1 integrated:1 red:1 shows:5 interactions:2 mechanisms:1 bassler:1 free:8 ontario:1 collection:1 clique:1 ask:2 bouchaud:1 shortest:2 divergence:1 pairs:2 connectivity:2 sinica:3 could:1 barabasi:4 days:6 times:2 length:5 flown:1 place:1 due:1 exhibited:1 first:1 major:1 note:1 probability:8 specifications:1 number:10 rank:6 linking:1 clear:1 relations:1 another:2 barrat:1 reached:2 electronic:1 size:6 sheer:1 publication:1 their:2 introduction:2 top:2 system:2 least:1 indicate:1 returns:1 1e:1 too:1 underlie:1 percentage:1 structures:2 ranging:1 redner:1 physicists:1 eyes:1 correlations:1 continuous:1 albert:1 took:1 takayasu:2 stylized:1 released:1 part:1 helen:1 theorie:1 chong:1 than:3 coefficients:5 toronto:1 wide:1 grew:1 showed:1 participated:1 double:1 assortative:4 submitted:1 final:1 recording:1 determined:2 barthelemy:1 were:10 gives:1 acquisition:1 behaviors:1 sai:1 fashion:1 investors:1 ran:1 spent:2 randomly:1 mossa:1 alike:1 seen:1 orders:2 she:1 symmetrized:2 paths:1 efficient:1 self:1 isolated:4 mechanism:1 onset:1 liu:1 densities:2 pivotal:1 jeong:1 online:11 finding:3 blue:1 topping:1 multiple:1 centre:1 park:1 price:11 measures:3 oltvai:1 logarithmically:1 most:1 connected:2 successive:2 pair:1 accepting:1 kay:1 adaptability:1 exponent:7 kc:1 deviations:1 quorum:1 ke:1 considered:1 kj:1 average:8 later:1 implications:1 elucidating:1 points:1 traded:4 physics:2 bulletin:1 findings:1 laws:2 ticks:1 phenomenon:1 show:7 random:1 ravasz:2 ending:1 ki:2 subtle:1 tend:2 networks:23 partners:3 slow:1 ratio:1 explain:1 distributed:6 metabolites:1 supported:1 should:2 terminal:1 only:1 candidates:2 announce:1 keeps:1 get:4 contracts:5 econophysics:1 dope:1 dc:1 da:1 nonequilibrium:1 words:1 despite:1 buyer:1 during:2 becomes:1 spikes:2 shu:1 settings:1 arxiv:1 lala:2 yield:1 summary:1 underlying:1 losers:2 architecture:1 activity:1 through:2 mantegna:1 intelligence:1 national:3 advertised:1 tended:1 individual:2 sec:3 stanley:2 best:1 appear:1 interacting:2 placed:1 review:1 mayor:1 behind:1 smallest:1 cambridge:2 between:21 si:2 approach:2 across:1 available:1 terms:2 nature:7 however:2 wi:1 continuously:1 wu:1 demonstrate:1 modeling:1 topology:4 received:1 providing:1 last:4 admin:1 many:2 trades:1 according:1 against:2 watts:1 players:25 negative:1 present:1 dated:1 context:1 passing:1 argue:1 expression:1 γin:1 experimental:4 among:2 ci:3 separation:1 characterization:2 color:11 mutations:1 community:10 agents:1 losses:1 tony:1 constant:2 allocated:1 throughout:4 earning:1 considering:1 described:1 incomes:13 salinger:1 airlines:1 been:1 defined:2 mars:1 fig:32 dots:1 tournament:1 corresponding:3 natl:5 buldyrev:1 hayashi:1 understand:2 tw:3 prices:5 those:5 applied:2 wins:1 exponential:2 pacs:1 solid:5 might:1 cash:33 employ:1 auction:1 while:2 guimera:1 aih:1 behavior:4 aij:4 hubs:3 property:5 interconnected:1 acquaintance:1 bin:1 would:2 coupled:1 heng:1 thus:2 jpg:1 iv:2 ii:2 player:11 properties:2 contract:8 maximal:1 technology:2 examine:1 around:1 acknowledgments:1 different:2 lengths:1 suggest:1 began:1 cumulative:3 who:5 any:2 undirected:5 reconstructed:3 complex:4 advances:1 units:1 vespignani:1 finite:1 shao:1 higher:2 evolve:1 satorras:1 http:2 exponents:3 sociometry:1 upon:2 flows:1 running:1 edges:12 kin:2 changing:1 contribution:1 lower:2 transaction:7 off:2 center:1 changes:1 toroczkai:1 well:2 roughly:1 analysis:8 thought:1 academia:1 undertaken:1 model:1 opinions:1 excessive:1 being:1 money:4 mandelbrot:1 obtain:1 competitive:1 intervals:5 identify:1 human:1 using:2 wic:1 taiwan:5 indegree:1 previous:2 web:3 buyers:2 cut:2 candidate:1 density:10 wei:1 had:3 simple:1 lett:2 technological:1 5e:4 ballots:1 real:4 increased:2 criticality:1 government:1 rules:2 big:1 bid:2 plerou:1 wih:1 cf:1 early:6 five:1 mathematics:1 press:1 world:7 emergence:2 unique:2 moreover:1 loss:1 like:1 sizes:6 server:4 consensus:1 sell:1 either:1 hung:1 output:1 inter:6 stationary:1 shed:1 because:1 liquidation:2 metabolic:1 tells:1 play:1 economic:3 examples:4 unraveling:1 strogatz:1 translates:1 matching:1 nonzero:1 scale:8 confirm:1 demonstrates:1 transactions:7 recorded:3 per:1 seller:1 critical:1 narayan:1 proc:6 collaboration:1 demonstrated:1 measuring:1 conference:1 biology:2 noise:1 run:1 power:24 cliques:1 sixth:1 continuing:1 confer:1 multiplicative:1 redundancies:1 although:1 plots:2 relating:1 subtract:1 went:1 takes:1 exhibit:2 central:1 boards:1 demarcation:1 based:1 acm:1 range:2 referred:1 rev:6 presence:1 communication:1 into:1 within:6 washington:1 functional:2 outdegree:1 accommodate:1 acad:5 accounts:2 determine:1 registration:2 accumulated:3 clustering:16 categorization:1 computer:1 log:1 her:3 loses:1 spending:10 topologies:1 truncated:1 awarded:1 low:6 was:16 function:2 sornette:1 buy:1 form:3 registered:3 jun:1 pastor:1 but:2 searching:1 volume:7 hierarchical:5 line:4 directed:1 partitioning:1 calls:1 versions:1 whether:1 characteristic:4 official:1 robustness:1 up:2 international:1 maturity:1 heterogeneous:1 fluctuations:1 distribution:20 stages:1 minutes:2 calculated:3 eigenvector:1 election:4 mechanics:1 partition:1 associated:1 links:2 ai:2 flow:32 universal:1 describe:1 dissemination:1 single:1 laboratory:1 encompass:1 distributions:15 no:3 amounts:1 when:2 invalid:1 successful:1 other:3 role:1 income:8 department:1 weights:7 conclusion:1 node:7 adjacency:1 kinds:1 quantitative:1 models:1 my3:1 stay:1 replace:1 chance:1 sociology:1 included:1 structure:1 matrix:2 methodologies:1 assets:1 algorithm:2 typically:2 potters:1 bottom:1 saclay:1 together:2 compete:2 volumes:2 time:18 observables:1 quantity:1 resolution:1 having:2
|
0705.2552.txt |@word limited:2 similarity:5 desirable:1 four:4 facilities:1 rˆ:1 looking:1 nominal:1 worth:1 rise:1 supports:2 convenience:1 vector:2 indices:4 10k:2 force:4 specially:1 consistent:4 estimates:1 direct:2 approximation:1 likely:2 tangential:3 even:4 established:1 errors:4 marel:1 selected:2 merical:1 above:2 net:2 increasing:8 ever:1 here:13 richstone:1 met:1 halfmass:1 path:1 diagnostic:1 interpret:1 contraction:2 obtained:25 study:14 stressed:1 maxwellians:1 changes:1 der:2 divide:1 overabundance:2 clumping:1 explained:1 highly:8 brought:1 stand:1 total:12 plot:1 would:12 therefore:5 violently:1 care:1 type:1 until:2 zemp:1 warm:9 excellent:1 hole:1 hold:1 must:5 setup:7 work:5 γf:5 suggestive:2 root:2 example:4 sinusoidal:1 indicated:3 give:7 indicates:4 end:4 provide:1 globular:1 feature:5 how:3 hot:1 answer:1 classifying:1 merritt:18 description:2 after:3 confirmed:2 kroupa:1 wrong:1 law:26 heidelberg:2 constants:1 substructures:1 effective:1 davies:2 correlation:2 order:9 over:15 vary:1 murray:1 thesis:1 satisfies:1 before:7 asymptotes:1 fit:16 expectations:1 better:3 distinguishing:1 fig:50 versus:5 eventually:1 them:3 affected:1 combination:1 lambert:5 safe:1 break:1 effects:5 they:6 structural:1 renditions:1 lauer:3 each:18 side:1 mean:10 lifted:2 verrier:1 fairly:1 series:10 literature:1 rt:5 unbound:4 rs:4 washed:3 particles:61 re:1 ebisuzaki:1 rm:2 rh:5 ri:2 trajectories:1 linear:10 little:2 free:14 admits:1 formation:5 estimate:1 r0:10 r1:1 r2:1 signature:1 already:1 another:1 illustrate:2 roche:1 cartesian:1 strasbourg:2 similarly:2 top:4 equilibria:44 perturbations:2 compromise:1 observations:2 wildly:1 percentage:1 ranging:6 collapse:32 centered:4 serve:1 took:3 binney:6 somewhat:1 maintaining:1 l9:1 distance:1 showed:2 princeton:3 tree:3 second:3 nakano:2 matter:1 powers:1 bridge:2 ran:3 spectrum:1 manner:1 increment:1 seen:10 seek:1 relatively:5 genuine:1 homological:1 latter:1 thorough:1 predominantly:1 oriented:1 fitting:4 forces:1 observatoire:3 acquire:1 boltzmann:4 germany:2 phase:12 apogalacticon:1 funato:2 curir:3 prevails:1 flow:3 spend:1 bracket:1 quantifying:1 sum:2 incomplete:2 random:2 radii:11 tremaine:4 ellipsoid:1 burkert:3 do:6 mixture:1 dj:1 de:9 σ1d:1 shutting:1 altogether:1 alimi:1 runs:38 bar:4 4πr:1 covering:2 fields:1 acknowledgments:1 discs:3 4πm:1 explanations:1 bak:4 mergers:1 reference:4 sensitivity:1 observed:4 radius:47 result:11 discussions:1 optimum:1 best:3 subject:1 said:1 tensor:3 away:2 rings:1 artificial:1 symmetric:4 drawn:15 encounters:2 preserve:3 terms:7 parallels:1 extend:1 nature:2 modify:1 however:17 nu1:1 suggested:1 essentially:1 irregular:2 reported:1 against:2 mildly:4 0e:11 exceeds:1 distinction:1 contribution:3 argue:1 adapted:1 asked:1 relaxation:26 2nd:1 trust:1 san:2 conference:1 three:9 been:4 quickly:1 much:5 logarithmic:15 interest:1 basic:1 expected:1 flexible:1 25k:1 families:2 deeper:2 θc:7 coherent:1 worked:1 siopis:2 applied:3 transformation:2 near:6 applies:3 gerhard:1 procedure:3 iy:1 ix:1 iz:1 prolate:30 iv:1 conf:1 containing:3 suggest:1 make:1 clearly:5 complex:1 split:1 several:5 grows:1 evolve:1 peaks:1 numerical:18 monotonic:3 hand:28 potentials:2 ellipsoidal:1 quantitative:2 jean:1 left:19 just:1 axisymmetric:2 identify:1 thanks:2 spherically:9 yet:1 previous:3 ease:1 had:7 emphasis:1 fortran:1 spread:1 transformed:1 5k:1 save:2 gave:4 rescaled:1 disagreement:1 possible:2 possibly:1 background:2 imposed:3 unique:2 appearing:1 precise:1 cooler:2 athanassoula:17 isotropy:1 specific:1 steps:1 invaluable:1 fridman:2 awarded:1 right:15 truncated:2 cnrs:1 deflection:2 flatten:2 escape:1 shapes:1 proceeding:1 bottom:2 dehnen:11 contributing:1 umd:2 yields:1 kandrup:2 core:2 derivatives:3 deleted:1 teuben:2 shifting:2 powerlaw:2 hst:2 properties:6 proceed:1 aguilar:9 theirs:1 o:2 ensure:3 mahoney:1 runtime:2 slightly:1 considerations:1 soc:1 thinner:1 formerly:1 bound:9 accommodate:1 raises:1 suffice:1 initial:60 conservation:1 way:4 was:24 head:1 form:4 attempted:1 differences:3 claim:1 removed:1 true:2 inside:2 maximum:16 panels:13 proved:2 moore:5 computing:2 abstract:1 covers:1 evidence:2 exist:1 simulations:22 perez:8 distributions:9 check:1 physical:4 ni:1 discriminate:1 dotted:2 no:6 whereas:2 stake:1 generally:1 unambiguously:1 role:2 papers:1 jenkins:1 picture:1 models:17 dissipation:3 astronomique:1 regime:5 longer:3 interval:1 together:1 affects:1 observables:1 quantity:3 lett:1 roi:7 global:9 leads:6 roy:6 byun:1 morphology:42 widrow:7 devoted:1 heller:3 anticipation:1 grape:1 graph:8 quasi:1 monotonically:1 marks:4 bockelmann:5 suffered:1 charles:1 advantage:1 aarseth:4 none:1 seemingly:1 choice:7 ro2:1 presented:2 did:5 turns:1 anisotropy:2 leave:2 round:3 upper:3 mn:1 plummer:4 findings:1 trend:10 prediction:1 cost:1 axes:5 favour:1 current:2 axial:7 goes:1 falling:5 filled:1 satisfy:3 perpendicular:1 address:1 appears:1 shift:3 spheres:4 poisson:1 studies:9 plotted:1 spatially:1 triaxial:19 marked:1 coinciding:1 tidal:2 softens:1 positive:4 visit:1 france:2 going:1 memory:2 theoretical:3 outputs:1 apparent:2 clumpy:1 cases:21 clumps:5 logarithm:1 rotational:1 collision:2 modified:1 makino:9 values:32 following:2 scalefree:1 figure:23 attribute:1 nemo:4 sample:2 performed:1 allowed:4 divided:1 exceptional:1 criterion:1 parameter:14 map:3 product:2 may:12 max:2 expectation:4 applications:1 explored:1 revealed:1 grow:1 prolateness:1 natural:1 dynamical:5 whenever:1 cosmology:2 so:13 progressively:3 typical:1 wavelengths:1 indeed:1 displayed:9 stability:4 course:1 episodes:1 experiments:12 cuts:1 argued:3 cold:15 still:3 derive:1 monitor:1 interesting:2 coordinates:4 non:9 recipes:1 scaling:1 spurzem:5 half:12 sorted:1 now:4 maxwellian:8 discuss:2 halo:1 matched:2 down:7 equality:2 name:5 arrows:1 cuspy:6 instabilities:1 instability:17 square:2 significantly:5 ed:3 snapshots:2 owing:4 eq:7 emerges:1 shown:17 100k:2 space:7 furthermore:2 increase:4 collisions:2 investigation:3 ble:1 squares:1 shows:8 earlier:1 theory:1 derived:3 mechanisms:1 possibility:1 quite:1 e5:2 lmc:1 e2:1 oblateness:3 collapsing:4 transition:5 motion:7 turn:1 place:4 massive:2 support:4 first:16 origin:7 symmetry:14 papaloizou:4 directly:2 open:1 angular:2 given:7 necessarily:2 checked:2 barycentre:1 parallel:1 indicate:6 cooling:1 types:2 white:1 structures:8 gives:5 fraction:19 mostly:1 continuous:1 artifact:1 hut:9 than:15 png:1 wide:1 l41:1 modelled:1 future:1 were:9 outcome:4 rainer:1 dash:1 say:1 distorted:1 recover:1 any:3 stadel:1 numerics:3 offering:1 efficient:1 converges:2 note:13 goodman:3 potential:7 take:4 converged:3 performance:1 collapsed:1 begin:2 investigations:1 clearer:1 falls:2 printed:1 latex:1 especially:1 considered:2 average:5 later:2 steady:1 vaucouleurs:1 typically:1 laws:1 slope:4 show:6 ground:1 slow:2 ratio:16 casertano:4 enough:3 analytic:4 only:16 explicitly:1 black:2 get:2 morphological:4 straightforwardly:1 nearly:3 aκ:1 held:1 median:3 yield:2 summary:1 mapped:1 discussing:1 rms:2 relative:1 iguchi:2 uncorrelated:1 concentric:1 invoked:1 ways:1 review:1 outside:1 invokes:1 between:20 affecting:1 justified:1 checks:1 notice:1 vertical:6 jp:1 highlight:1 virial:14 come:1 stages:3 acquiring:1 many:1 region:11 beckman:1 according:2 disappointment:1 jeans:3 grants:1 sensible:1 locally:3 mark:2 combined:1 hardly:1 6a:3 6b:5 thousand:1 formed:3 observe:1 careful:1 those:17 case:21 developing:1 profiles:28 hayes:1 cast:1 situation:1 graphed:1 orientation:1 cluster:1 bias:1 worry:1 binary:1 different:22 verified:1 april:1 same:17 shifts:1 defines:1 investigated:1 trivially:1 changing:1 bosma:3 tracking:1 modes:6 largely:3 parameterised:1 roughly:3 without:2 components:1 200k:1 model:5 otherwise:1 dimension:1 consisted:1 kawai:4 being:3 when:25 axisymmetry:3 rest:3 violent:11 aspect:9 underline:1 sampled:2 except:1 interested:1 lengthens:1 samples:1 complements:1 momentum:3 around:7 read:1 outermost:1 cf:12 early:1 mon:1 confined:1 using:11 ruled:1 particle:29 velocities:18 serves:1 discarded:1 either:3 always:2 output:1 reduced:5 fixing:1 deduce:1 respect:1 images:1 matching:1 confirm:1 footing:1 conservative:2 cosmogony:1 critical:2 deficit:1 provides:1 escapers:2 restoring:1 power:47 broken:1 biases:1 ratios:23 2m:1 comparison:9 central:10 package:2 discussed:3 whence:1 greatly:1 cambridge:3 dagger:1 numerically:2 references:2 imitates:1 log:25 shells:14 removing:1 there:3 dispersion:5 start:2 low:9 stars:3 colder:1 assumes:1 complete:2 regard:1 laine:2 mnras:21 faster:1 nearest:2 detailed:1 gone:1 holes:1 aj:3 deep:1 general:1 ensuing:2 file:1 again:3 field:12 spatial:1 poor:1 polar:1 briefly:1 symbol:2 time:54 drift:1 includes:2 important:1 flattened:1 poon:2 neighbour:2 calls:1 curve:5 cored:1 mass:102 starting:4 consider:4 astron:1 disc:2 aly:1 follow:2 cannizzo:1 content:1 tail:1 preserved:1 stochastic:1 norm:1 ta:1 straightforward:1 very:15 interpreting:1 fall:20 difference:1 condition:2 list:1 t3:1 large:23 small:19 programme:1 pasj:3 past:1 zero:4 pasp:4 displays:1 further:1 what:5 hernquist:10 sub:6 brackets:1 section:4 ticks:2 brief:1 method:4 contrast:5 full:8 compilation:1 component:1 certainly:1 inverse:1 excess:4 directions:1 strong:3 equations:1 search:1 leveling:2 allows:6 prior:1 elongated:1 followed:1 ask:2 earliest:1 takes:3 distinct:1 objectives:1 mihos:2 comparing:2 automate:1 taken:1 minor:6 more:40 flat:3 problem:9 keplerian:1 ven:2 intermediate:1 particular:2 known:2 evolves:1 keeping:1 debates:1 middle:2 recall:1 equation:5 centrifugal:1 edex:1 remain:3 history:1 compare:2 cosmological:2 sphere:2 minimum:3 sense:2 sharp:1 axis:27 strongest:1 rather:2 clarke:1 breaking:1 oblate:36 influences:1 gebhardt:2 galactic:2 tried:1 singularities:1 orbits:13 virialised:5 develop:9 horizontal:1 short:2 negligible:2 pleasure:1 help:1 ith:1 soon:1 setback:1 indistinguishable:1 resonant:2 paper:2 through:9 kinetic:8 its:1 style:1 rapidly:3 late:2 systems:31 good:8 trh:4 ya:1 universality:1 demographics:1 hunter:1 anticipated:4 framework:1 easily:1 2r:1 fully:4 level:1 radial:24 found:15 universit:1 2i:1 recentered:1 energy:24 reduce:1 extended:1 expect:4 beyond:4 bima:2 since:10 projected:1 occurs:1 asp:1 belief:1 confidence:1 reason:3 put:1 approach:5 rises:1 generate:1 recast:1 persists:1 conducted:1 assign:2 major:9 probability:1 relate:1 thereafter:1 number:21 unexpected:1 done:6 least:2 differ:4 introduction:1 leading:2 construct:1 calculations:19 rates:1 scheme:4 recovered:2 listed:7 shifted:2 tff:7 lynden:2 part:3 authors:2 focusing:1 diffusion:1 albeit:1 kind:1 grained:1 toward:4 motivation:1 7b:2 7a:1 randomly:2 confirms:2 lin:2 onset:1 internal:2 play:2 added:5 reach:3 kan:1 most:13 significant:4 fluctuate:1 deviations:1 constructed:3 clear:4 cover:2 velocity:40 physics:1 bending:1 particularly:3 phenomenon:2 cdm:1 converge:3 readjustment:1 relation:6 fine:1 find:17 impact:2 parameters:15 tal:1 distributed:1 increasingly:1 factor:1 peaked:3 his:1 dependent:1 boily:18 during:10 fukushige:6 resolve:1 arxiv:1 fledged:1 set:18 achieved:2 unpublished:1 achieves:2 ara:1 see:25 individual:2 close:7 forthcoming:1 outward:1 sigurdsson:2 project:1 irrotational:1 smallest:1 orbiting:1 conditions:31 seeded:1 profiling:1 recently:1 initially:7 distinguish:1 inertia:4 both:15 last:2 sensitive:4 context:4 whole:3 bell:2 corresponds:2 harbour:1 dimensional:4 morphologies:2 throughout:1 ensures:1 described:1 due:6 strategy:1 aspherical:2 coarse:1 maintenance:1 anisotropic:5 ph:1 attractive:1 partly:2 gas:2 gap:1 prominently:1 understand:1 representative:1 systematic:1 look:2 solid:8 straight:6 grainy:1 evaluated:3 deferred:1 while:20 dense:1 evaluating:1 error:3 animated:1 identical:1 vol:2 averaging:2 drawbacks:1 binding:5 tests:1 itself:1 lowresolution:1 righthand:2 shaw:1 lengths:2 barnes:12 shorter:1 higher:3 calculation:5 used:13 suggestion:1 restraint:1 cigar:2 flows:1 uses:2 robust:1 recent:2 eigenvectors:1 lower:9 spindles:1 increases:9 analysis:12 edge:1 redistribution:1 self:11 distances:2 ellipticals:7 shape:3 intervals:1 triaxiality:1 useful:1 alternative:2 tables:1 cut:1 conclusions:1 scales:7 plateau:1 theorem:1 ajhar:2 remaining:2 bin:4 motivating:1 rebound:1 sorting:2 mergings:1 semi:5 shaped:2 systematically:1 follows:5 separately:2 flux:2 indication:1 δt:1 methods:1 some:6 bounce:1 understood:2 trends:3 b2:3 infall:1 anisotropies:1 pronounced:1 scale:12 diaferio:2 integration:2 per:1 varying:3 run:20 palmer:2 agreement:6 rue:1 step:3 plots:2 simulation:5 range:13 consequently:1 into:4 within:3 appropriate:2 clustering:1 institut:1 measured:1 question:2 depicted:1 long:4 mcglynn:4 sections:2 arise:1 relaxed:3 ghigna:1 gauss:2 link:1 coldest:1 line:16 collapses:8 observation:1 gravitating:4 up:10 us:6 un:1 fluctuations:4 marseille:4 similar:12 constant:14 defined:6 coincides:1 influence:1 globally:4 duration:1 single:3 warning:1 steeper:3 dashed:4 application:2 points:4 coded:1 elements:1 calculating:1 problems:1 develops:5 renormalised:2 structure:10 ago:1 tailored:1 correlated:1 implies:1 required:2 resolving:1 orbit:8 correlates:2 fitted:3 far:1 everywhere:2 requires:1 having:1 once:2 code:4 results:37 classic:1 edu:2 go:1 gm:3 issues:2 compact:1 concerned:1 outwards:1 include:4 resources:1 probe:1 continues:1 wave:1 valued:2 mixing:8 continued:2 wipe:1 entire:1 diverging:1 eigenvalues:1 inspection:1 noted:5 configurations:3 smaller:3 kazantzidis:1 ρo:4 picked:1 dynamics:5 index:22 rate:3 consistently:1 fujiwara:2 body:17 led:1 chose:2 degree:3 respectively:1 desired:2 explore:4 objects:1 others:1 consideration:1 remark:1 larger:15 suggests:3 survey:5 makes:1 involves:1 heart:1 limr:1 apj:21 use:3 stream:4 remains:4 next:1 few:8 duplicate:1 panel:21 becomes:5 payne:1 hints:1 topic:1 account:2 integrating:1 ρi:2 averaged:12 astronomisches:1 antonov:1 thin:2 meet:1 drops:2 averages:5 scatter:5 control:1 chosen:4 process:3 high:3 effectively:1 isodensity:1 bend:1 sought:1 varied:1 holds:2 regions:5 integrators:1 varies:3 elliptical:2 instead:3 coarsegrained:1 circular:6 profile:25 merrifield:2 insu:1 insufficient:1 fits:3 bertin:2 computations:1 light:2 lines:2 allow:2 discussion:2 bins:7 six:2 astronomical:1 despite:3 symbols:2 saturates:1 including:1 galaxy:1 perfect:1 le:1 outer:2 ln:2 masses:1 degrees:1 clusters:1 cusp:2 material:3 innermost:16 rotation:2 february:1 undertaking:1 university:5 identified:3 merge:1 mode:4 crossing:4 accounts:1 traces:1 erratic:1 constraints:1 homogeneous:5 determine:2 related:1 verolme:1 measure:1 our:33 out:22 integrates:1 rev:1 favours:1 cause:1 integrated:3 shut:1 approached:1 fluctuates:1 interactions:1 galaxies:11 diagonal:2 approaches:1 threedimensional:1 shortest:3 could:3 area:1 frenk:1 times:5 length:15 produce:1 isotropic:7 hence:3 facilitate:1 reaches:3 improvements:1 reached:5 precisely:1 quality:1 strict:2 data:12 system:26 adopted:7 theis:4 their:23 accretion:6 final:2 shell:12 explanation:1 isophotes:1 lists:3 too:1 limiting:1 inversely:1 amplitude:1 trenti:2 steep:2 σr2:1 enforced:1 curves:3 gentle:1 constrained:2 linked:1 angle:11 min:1 gravity:1 instance:1 gρ:1 accuracy:5 centre:22 who:4 eight:1 why:1 volume:4 32g:1 url:1 32k:1 looked:2 graphs:2 400k:1 diagnostics:2 oscillates:1 fact:4 text:1 supported:1 purely:3 propagates:1 rough:2 principal:1 based:3 knowledge:1 baryonic:1 should:1 attained:1 local:1 achieve:2 equilibrium:61 slows:1 means:3 mainly:1 overall:6 hayashi:1 words:2 exchanges:1 collisional:3 evolution:24 luminosity:2 fixes:1 tuned:1 navarro:6 fixed:2 view:2 computed:5 exists:1 smooth:3 frame:1 correlations:5 rechen:1 computer:2 enhanced:1 closer:1 pattern:4 boosts:2 routine:1 boundary:4 comparable:1 opening:8 importance:1 job:1 key:1 probing:1 configuration:5 tensors:1 thank:1 commenting:1 limits:1 taking:1 henriksen:14 equal:5 attributed:2 etc:1 figures:2 taiji:1 grounds:1 comment:1 strongly:1 ch:1 conclude:2 harmonic:1 decreases:1 sequences:1 table:20 piecewise:1 slowly:5 treat:1 minimise:1 define:3 corresponding:5 sufficient:3 binning:1 bulk:2 angles:1 derivative:16 c2:2 present:4 multi:1 value:20 will:20 vc:15 chaotic:2 thus:10 surprisingly:1 helped:1 vr:3 vs:1 orbital:6 generic:2 divergences:1 administration:1 cross:2 unity:2 parts:3 largest:4 units:11 outbreak:1 finite:6 difficult:2 practice:2 http:2 conceived:1 effect:5 phd:1 diemand:3 v2:3 francisco:2 off:12 center:2 nevertheless:2 well:15 patterns:5 sets:3 comparisons:1 arising:1 drawing:1 spherical:39 softening:10 less:12 moments:2 tcr:7 sources:2 rapid:5 density:58 point:7 extends:1 spirals:1 match:7 resolved:2 saturation:1 increased:2 normalise:1 cruz:2 denser:1 press:5 immediately:1 tick:4 prominent:1 loss:3 showing:1 helpful:1 lost:1 δv:2 qualitative:1 hosts:1 become:1 δe:1 lends:1 exceed:2 because:3 classical:1 smoothly:1 library:1 growth:12 holley:5 lead:9 sufficiently:3 broad:1 avoid:4 does:6 demonstrated:1 benefitted:1 noise:1 expansion:2 pressure:2 although:2 cusps:6 noisy:2 governato:1 about:3 carried:3 freedom:2 dependence:1 seeds:2 bounded:1 introduced:1 software:3 functional:2 dataset:1 assess:2 utility:1 spheroids:2 van:11 albada:8 smoothing:12 inner:18 function:24 triggered:2 funds:1 but:19 astro:3 repeated:3 hierarchical:1 goals:1 convergence:11 fragmentation:1 compute:2 whether:6 wish:1 gravitational:9 variations:3 below:5 limit:4 demonstrate:1 distribution:13 display:1 800k:2 proceeds:1 functions:6 compared:2 percent:2 treatment:1 dlog:20 other:12 compares:1 details:4 conclusion:4 repeat:1 star:3 radially:1 variation:1 stay:1 astronomy:1 upwards:1 resolution:19 factors:1 4n:1
|
0705.2553.txt |@word limited:1 monte:5 code:1 sci:1 consider:4 chain:2 skip:1 varying:1 dynamic:1 results:2 baroni:2 eds:1 extrapolated:1 computation:8 cameron:1 follow:1 whose:1 inverse:1 calculate:2 ac03:1 ts:3 compensate:1 those:2 nodes:2 global:2 kent:2 zhang:1 very:1 rise:1 wave:2 electron:6 figs:1 suggests:1 pression:1 entire:1 hamiltonian:1 did:1 cause:1 correct:2 large:14 discrete:2 settle:1 small:2 markov:3 configurations:1 force:1 estimates:2 understanding:2 zero:1 displays:2 further:1 qmc:25 estimated:1 carlo:5 wilson:1 even:3 will:2 nel:4 ccd:1 adds:1 brackets:1 current:1 version:1 above:2 new:3 net:1 increasing:3 method:1 contrast:1 body:4 full:2 chose:1 modify:1 here:1 atoms:8 water:1 reported:1 smearing:1 address:1 attaccalite:1 standard:3 observing:2 appears:3 change:1 violate:1 obtained:4 sending:1 noticeable:1 technical:1 involved:1 study:6 larger:1 binder:1 later:1 trial:3 amount:1 usually:1 studies:1 involves:1 plotted:1 useful:1 scales:1 requiring:1 highly:1 aimed:1 counts:1 total:8 linearly:1 inc:1 plot:2 use:2 figure:1 would:3 mitas:3 remains:2 contains:2 optimize:1 few:1 overhead:1 therefore:3 memory:1 taken:2 achieving:1 more:3 flat:1 formally:1 becomes:3 odinger:1 needed:1 tildesley:1 normalized:3 particular:2 known:2 serially:1 cases:2 blocking:3 must:2 sample:2 springer:1 ma:2 skipping:1 recall:1 work:5 modified:2 fock:1 cam:1 growing:2 making:1 root:2 example:4 performed:2 impedes:1 transition:1 renormalization:1 decorrelation:11 calculation:8 chip:1 states:3 indicates:2 numbers:1 sharp:2 rescaling:1 reynolds:1 axis:1 needs:2 processors:1 rather:2 feature:1 hampered:1 contracts:1 varies:1 harju:1 adjacent:1 verlag:1 ensemble:1 rousseau:3 supercomputer:1 mat:1 may:3 after:1 space:1 demanding:1 flattens:1 produce:1 cambridge:2 horizontal:1 data:7 parallel:3 efficiently:2 discarding:1 effective:3 computations:5 explicit:1 ghz:1 element:1 provide:1 complexity:1 maintain:1 algorithms:3 progressively:1 correlation:5 pulled:1 order:5 typical:1 grossman:1 help:1 considerations:1 developed:2 over:3 move:2 years:1 course:1 benefited:1 through:1 statistical:11 its:2 rapidly:3 thank:1 fit:1 acknowledge:1 energies:1 interesting:1 complex:1 coordinates:1 li:24 html:1 systems:5 clusters:39 schmidt:1 might:4 inefficiency:1 eur:1 maximal:1 eventually:1 non:2 greater:1 thereby:1 severely:1 hφ0:1 practice:1 regarding:1 scaling:21 band:1 effects:2 they:1 oxford:2 now:2 discuss:1 eigenvalue:1 february:1 university:4 concave:1 theory:2 reasonable:1 each:2 found:4 higher:1 nanoclusters:3 square:2 significantly:2 series:1 energy:14 related:2 used:3 ex:1 measure:2 quantum:7 our:12 portland:1 ev:1 eq:5 out:3 shown:2 dominates:2 fundamentally:1 factors:1 induces:1 denotes:1 increase:1 performs:1 induced:1 ref:1 integrated:8 math:2 shows:4 log2:2 linear:4 divergence:3 quite:1 california:1 term:2 estimate:3 wanted:1 generate:1 log:2 geometry:3 route:2 similarly:1 feasible:2 turn:1 mella:1 nodal:1 quadratically:3 onto:1 first:1 xj:3 nieminen:1 ability:1 already:1 features:1 probability:1 striking:1 number:17 clear:1 directly:1 impossible:2 electronic:3 giuliani:1 hood:1 size:20 given:7 bansil:1 revealed:1 eqs:1 system:13 their:2 intermediate:1 ulich:1 calculations:12 scheme:1 massively:3 gives:2 collapse:1 relationship:2 explanation:1 rajagopal:1 somewhat:1 than:6 ascc:1 distance:2 variational:1 impractical:1 plateaux:2 second:1 submitted:1 strategies:1 ss:1 were:7 umrigar:5 result:2 exhibit:1 shrinks:1 ran:1 boston:1 ann:1 aki:1 spectrum:1 curves:2 novak:2 need:1 allen:1 dynamics:2 relatively:1 generalizes:1 chem:10 decorrelated:2 efficient:1 lin:1 able:1 metallic:7 note:2 liu:1 online:2 so:4 projects:1 accuracy:4 blue:1 begin:2 towards:1 multiple:2 though:1 hammond:1 reach:1 insets:1 most:1 drummond:1 preliminary:1 phase:1 utilize:1 phd:1 why:1 considered:3 calculated:2 sometimes:1 metal:1 points:6 electrons:9 principle:1 casula:2 quadratic:2 physics:1 dot:1 quantity:3 phenomenon:1 neumann:1 computers:1 subtle:1 ground:3 slow:1 ratio:3 parameters:1 hf:3 explain:2 distributed:1 written:1 should:1 being:1 only:5 black:1 tip4p:1 molecules:2 factor:4 employed:1 adequate:1 local:1 pointed:1 achieve:1 do:1 intractable:1 dependent:1 de:2 expectation:1 rappe:1 nearly:1 words:1 despite:1 during:3 lester:1 secondary:3 runs:3 bar:1 erich:1 dissertation:1 arxiv:1 emt:1 xeon:1 underlying:2 common:1 contain:1 nightingale:1 reveals:1 bars:2 set:1 correlations:7 morosi:1 observed:1 see:5 computer:1 changes:1 eliminating:1 discussions:1 terms:1 uncorrelated:1 techniques:1 roberts:1 diverge:1 state:4 various:1 john:1 between:4 approach:2 comparable:1 recently:1 creating:1 sampled:2 importance:1 however:2 efficiency:1 york:1 orbitals:1 group:1 times:2 problem:4 both:2 essentially:1 desired:1 dario:1 many:4 region:1 uncertainty:1 according:1 display:1 connection:2 dated:1 highlights:1 variance:5 σt:10 among:2 ch:5 point:1 color:2 northeastern:2 community:1 sampling:5 maintained:1 simply:1 moreover:1 vignale:1 broadening:1 configuration:1 transformations:1 piecewise:1 addition:1 arbitrary:1 due:2 been:5 describes:2 interest:1 expected:1 marx:4 fig:9 ergodic:1 corresponding:1 gas:1 towler:1 binning:1 gap:2 bulk:4 wales:2 equilibration:3 present:2 case:2 extracted:1 stickiness:3 pacs:1 appearance:3 value:13 employ:1 invoking:1 while:1 overcome:1 error:8 balance:1 procedure:1 studied:4 muramatsu:1 refs:1 thus:2 duplicating:1 surface:2 equilibrate:1 cluster:10 barbiellini:2 cond:1 technology:1 different:1 sourceforge:1 verified:1 circumventing:1 perform:1 suggest:1 lett:7 same:3 clearly:1 shorter:1 concavity:1 emphasize:1 runge:1 largest:1 modification:1 finite:1 grows:3 difficult:3 week:1 independent:1 investigated:2 http:2 nic:1 effect:1 hand:1 allocation:1 average:1 running:1 liquids:2 infinite:1 sorella:3 hartree:1 interested:1 recent:2 relies:1 weakly:1 schr:1 center:1 nevertheless:2 makes:1 no:2 well:1 analysis:1 severe:2 without:3 equilibrated:3 nearby:2 wavefunction:4 less:3 increasingly:5 generally:2 accurate:3 wagner:1 obtain:7 valuable:1 pfaffian:1 relevant:2 atomic:2 moroni:2 previous:2 onset:4 overlapped:1 density:1 character:2 except:1 reasons:1 spread:1 plateau:14 samples:25 theorem:1 excited:2 momentum:3 insensitive:1 rev:11 demands:1 nersc:1 possible:4 wilkins:1 decorrelate:6 np:3 increases:2 five:1 press:2 using:5 height:3 advanced:1 mod:1 meaning:1 76sf00098:1 like:2 particle:1 sizes:4 exploiting:2 performing:2 discarded:1 steps:14 follows:2 become:2 www:1 because:4 methods:2 sequence:1 discontinuities:1 play:1 oscillations:1 nonzero:1 vol:1 demonstrates:1 normal:1 langevin:2 per:4 friedberg:1 provides:2 assuming:1 yields:2 chains:2 core:1 metropolis:2 run:4 scientific:3 ceperley:1 journal:1 wavefunctions:2 petersen:1 notably:1 step:4 although:2 accompanied:1 plots:1 refers:1 properties:7 von:1 comparison:1 about:2 carried:2 discussed:3 generated:1 o:17 mean:1 processor:1 block:9 software:1 cutoff:1 muller:1 acceptance:1 rosenthal:1 markovian:1 presence:1 h2:15 into:1 within:1 obtaining:3 flyvbjerg:1 determine:4 shrinking:1 often:1 additional:2 comparing:1 ortiz:1 support:1 there:1 brute:1 anderson:1 much:1 way:2 institute:2 was:4 function:6 williamson:3 complete:1 form:1 becoming:1 but:2 failure:1 atom:6 convergence:5 line:2 true:1 auxiliary:1 made:1 evident:1 whether:2 mtrl:1 up:2 quantitatively:1 theoretical:1 maturity:1 gaps:1 fermi:3 uk:1 autocorrelation:13 demonstrate:2 distribution:4 similar:2 called:1 detailed:1 ac:1 diverges:1 constant:1 computing:2 defined:2 certain:1 universal:1 influence:1 deep:1 denote:1 single:4 simulations:4 filippi:1 foulkes:1 moves:5 distributions:2 noticing:1 constructed:1 again:1 functions:1 beyond:1 us:1 variety:1 na:1 nc:1 when:5 ne:1 other:3 role:1 details:1 department:1 conclusion:1 deviation:3 stat:3 elements:1 excitation:1 decorrelating:2 uniformly:1 covariance:1 bonding:1 important:2 suited:1 aggregated:1 structure:2 matrix:1 independently:1 correlated:7 longer:1 algorithm:6 required:3 curve:2 bcc:1 equivalently:2 inset:4 fact:3 time:21 walker:4 requires:1 agp:1
|
0705.2554.txt |@word limited:3 argyres:1 leighton:1 secondly:3 resist:1 desirable:1 idealised:3 demanded:1 entropy:1 consists:1 assembled:1 relationships:1 whose:9 patches:1 aug:1 paris:1 spin:2 under:7 characterised:1 conjecture:2 amorphous:1 p1:4 every:17 govern:1 affect:2 solution:8 admissible:1 convenience:1 vector:6 red:1 unifying:1 ups:1 concordant:1 force:2 monotonous:1 physikalischen:1 consistent:2 direct:3 ornstein:2 approximation:12 second:3 inanimate:3 even:30 established:1 incompatible:3 worsen:1 contributed:4 consequent:1 birkhoff:1 above:4 new:34 increasing:1 ever:3 consisting:1 counters:1 unmotivated:1 bi:5 notions:8 never:5 equals:1 here:12 atoms:2 met:1 path:2 balian:2 interpret:1 calculate:3 obtained:6 suitably:1 rests:1 study:11 changed:1 approaches:7 controversy:1 electricity:1 calculations:2 adopting:1 fourier:3 criticism:2 projection:2 explained:3 visibly:1 moral:1 total:5 univ:1 landscape:2 credence:1 formalised:1 lecture:1 would:38 negative:5 call:4 therefore:9 type:1 tell:3 separated:1 tolerated:1 correlate:1 naive:5 odinger:5 aware:2 berlin:3 reversible:2 excellent:1 burnside:2 hold:2 must:18 me:1 ii:1 word:5 pursue:1 setup:1 accomplishment:1 theories:3 itself:7 concepts:42 guise:1 my:2 example:10 mechanik:1 give:12 relativistic:1 cited:1 weinberg:2 involve:2 want:1 keep:1 hibbs:1 guarantee:1 end:4 hoc:1 thing:5 verify:1 feature:7 indiscriminately:1 machine:1 how:15 methodology:1 writers:1 significance:5 answer:4 gate:1 ordinary:1 fudge:1 description:6 mess:6 thermodynamic:16 oscillators:3 earlier:2 vicious:1 minlos:1 wrong:4 law:7 meaningful:5 parallel:1 attempt:4 third:1 helsinki:1 think:5 hypotheses:1 18th:1 green:2 ultimate:2 suggest:2 praxis:2 nonsensical:1 order:11 restriction:2 interpretation:5 withing:1 over:8 satisfied:1 london:2 thesis:2 experimentally:1 satisfies:3 before:2 fit:2 somewhere:2 fix:3 expectations:10 writing:1 better:1 distinguishing:1 persist:1 hidden:2 easier:3 overcome:1 versus:1 eventually:2 them:19 combination:1 fragment:1 amenable:1 break:1 effects:1 they:57 represents:2 reasonably:1 formalisation:1 proceeding:1 reasonable:3 each:21 went:1 side:1 mean:18 afforded:1 schemes:1 fairly:1 innocent:1 principles:2 literature:4 poincare:6 substantially:2 laboratory:1 axiomatisation:8 crucial:1 particles:6 re:5 adapt:1 reader:3 got:2 independence:2 foundation:3 trajectories:5 linear:9 written:1 gardiner:1 little:4 free:2 standard:1 stochasticity:1 estimate:1 universally:2 consciousness:1 starts:1 days:2 incorporated:1 scheme:2 loud:1 separable:1 already:4 features:2 render:1 rank:1 philosophical:14 relations:1 another:9 tangle:1 electronic:1 toy:3 indeterminate:1 approximately:9 needed:10 too:11 postulate:7 variational:1 insightful:1 took:1 corresponded:1 abandoning:1 positively:1 showed:8 approximations:4 likely:1 preparation:1 matter:7 historical:1 guttmann:1 feeling:2 minus:1 usages:1 fashion:1 ran:4 mind:3 ming:5 antagonistic:1 talking:1 manner:3 seen:3 seem:1 βe:2 seminar:1 dozen:2 foundational:7 affairs:1 strength:1 harper:1 thoroughly:1 latter:2 isolated:1 haag:1 forces:1 scripta:1 though:3 object:6 simplify:1 boltzmann:11 involving:4 affirmatively:1 entry:1 phase:21 invoke:1 grave:1 observation:1 professor:16 flow:1 curie:1 definitely:1 principle:9 camb:1 notion:17 incomplete:1 reserve:1 saying:2 clarified:1 subtly:1 opinions:1 lewis:2 random:1 maassen:1 attempts:5 solutions:6 calculable:1 analogue:1 d0:2 d1:2 just:18 situations:3 elucidated:1 circularities:1 adequate:2 hamiltonians:2 axiom:11 dn:3 do:31 mixture:1 klein:6 di:6 uncountable:1 plato:18 reversal:1 despite:1 reconstruct:1 dt:2 runs:1 fields:1 illegitimate:1 programmatic:1 observer:3 imitate:1 alterations:1 observed:6 depends:3 result:22 fail:1 dµ:3 best:2 techniques:2 said:1 doebner:1 inappropriate:1 continually:1 symmetric:1 unable:1 conceptual:2 sorts:1 approach:7 terms:21 extend:3 nature:14 confusion:1 weak:3 physicist:2 topology:2 suggested:2 received:1 essentially:5 reported:1 fallacious:1 uncertainty:2 against:4 participating:1 rigourously:2 receives:1 logic:9 contribution:2 argue:6 adapted:1 asked:7 khintchine:9 meaningfulness:1 2nd:1 evanston:1 false:1 speak:1 conference:1 commutative:1 basis:21 three:11 been:37 much:13 interest:2 basic:3 expected:2 ann:2 questioned:1 hepp:4 life:1 θi:3 retrospect:1 quantities:1 irvine:1 coherent:2 axiomatics:3 worked:1 colloquial:2 applied:3 contingencies:1 excited:3 euclidean:4 suppose:3 viii:1 applies:1 property:2 elaborate:1 procedure:12 mistake:2 settles:1 sticking:3 obeying:1 ih:3 experts:1 interacts:1 perform:1 things:5 make:12 complex:1 quant:2 mixtures:2 several:3 couple:1 independent:4 inadvertently:1 disagreement:2 pick:1 hand:3 supposing:1 geist:1 insisted:2 opportunity:1 zermelo:1 postponed:1 possessed:1 feshbach:1 incapable:1 possesses:1 tha:1 left:6 unified:1 quoted:2 newton:8 overcoming:1 depart:1 yet:3 previous:4 candidate:1 sciences:2 similarities:1 regarded:4 had:16 weiss:1 leibnitz:1 potential:1 easy:2 gave:3 insensitive:2 advances:4 posed:1 possible:19 spanned:3 boxes:1 unification:2 unique:4 dreams:1 occurring:1 desire:2 contradict:1 unnecessary:1 arbitrary:1 right:5 deal:6 people:1 microcanonical:1 successfully:1 somehow:1 born:3 debye:1 escape:1 critique:1 unless:5 animate:1 parcel:2 ignore:2 dense:4 electromagnetic:1 normal:16 unit:1 yields:3 meanings:3 collet:1 rescale:1 elucidate:1 pose:1 fermat:2 super:1 properties:21 proceed:4 chapter:1 o:1 collett:1 distinct:1 plus:3 steadily:1 shared:1 efforts:1 considerations:1 primitive:19 statements:5 sog:1 presence:2 maxwell:5 bath:2 down:5 respectable:2 hermitian:2 scherer:1 amsterdam:1 often:5 unambiguous:1 existed:1 rely:4 amazingly:1 initial:6 approximate:3 class:3 indirection:1 joseph:1 physicists:5 fraction:4 was:65 war:1 irreversibility:4 form:7 quantity:1 attempted:1 differences:1 analyse:2 cyclicity:1 ford:13 taken:7 heat:5 hear:1 true:13 inside:1 until:4 formalising:1 unanimous:1 jauch:3 adopt:3 proved:2 pτ:1 toss:1 abstract:3 covers:1 evidence:3 exist:6 distributions:1 indirect:2 physical:85 marking:1 no:46 whereas:1 when:18 reality:2 grammatical:3 setting:2 role:2 tii:1 investigations:1 papers:1 unwilling:1 picture:2 superposition:2 mechanical:5 variable:6 transfers:1 πi:2 longer:4 assume:12 proposed:4 together:2 time:35 push:1 observables:14 n2:1 conditionals:2 concept:34 cincinnati:1 brownian:6 focus:2 leads:2 remarkably:1 certainly:4 amplification:8 depend:3 technique:2 passage:1 recurrence:1 answered:2 quasi:1 marks:2 suffered:2 frequencies:3 keeping:1 choice:5 entries:1 trouble:1 exact:5 minute:1 level:2 did:21 die:2 leave:1 solved:2 settle:2 equation:12 work:12 says:3 dealing:2 repetitive:1 obsolete:1 appear:1 favour:3 uniform:1 current:4 goes:3 international:4 appeal:3 satisfy:3 honour:1 understanding:3 twentieth:2 alone:1 along:3 change:8 weisskopf:1 expressly:1 vectors:5 accomplished:2 suggestion:1 domains:2 bq:3 tasks:1 useful:4 problematic:1 merely:8 logical:44 marvelous:1 durham:1 contradictions:1 logically:23 subjectivity:2 crisis:5 additive:1 russell:7 working:3 prove:1 positive:1 ingenuity:1 france:2 explicitly:10 opposed:1 renormalisation:2 scope:1 theoretical:5 diagrams:2 introducing:3 duality:9 suggestions:1 apparent:4 validity:4 rigid:1 cases:2 emphasising:1 insights:1 concretely:1 avoiding:1 originally:1 oscillator:4 fock:1 values:3 achieve:1 cal:1 following:9 making:1 arrive:1 nearest:2 trump:1 predict:3 attribute:1 arise:10 confused:1 sample:2 performed:2 allowed:4 unphysical:3 counting:1 occur:5 requirements:3 fortunately:2 ideas:3 discussion:8 chemical:1 till:1 pure:2 coleman:2 parameter:1 map:6 levy:1 quantenmechanik:1 may:14 neat:1 respective:1 expectation:8 applications:2 produce:2 designed:3 mag:1 data:2 lacked:1 sz:1 natural:7 outline:2 johnson:5 whenever:2 explicit:8 cosmology:1 switch:3 so:52 definitions:6 increase:2 talk:2 typical:5 galton:1 correlation:11 indeed:11 pointed:2 displayed:1 raised:1 years:3 stability:1 course:5 experiments:5 statistical:57 argued:3 cold:1 still:15 pointer:12 nieuwenhuizen:2 derive:10 disconnect:2 interesting:2 organisation:1 coordinates:1 frege:2 ours:1 factual:2 causation:2 non:13 regularities:4 processes:13 introduce:18 hamilton:1 half:4 now:30 discuss:1 developments:3 possess:3 term:6 name:1 james:2 prinzip:1 prosperi:2 establishing:1 possibilities:1 realistic:1 careless:1 goldstone:4 domain:3 ed:3 gaussian:3 breakthrough:4 betweeen:1 happen:1 adequately:1 ultimately:2 accomplish:2 space:34 axiomatically:6 furthermore:4 squared:1 looking:1 investigation:1 formula:1 squares:1 viable:1 shows:9 after:9 theory:60 possibility:1 quite:9 complicated:1 org:1 axioms:37 milburn:2 care:3 advance:3 derivation:2 language:10 selections:1 transition:2 modest:2 motion:10 turn:3 amplifiers:4 place:4 gordon:1 qn:3 neglect:3 first:18 intuition:4 xo:4 symmetry:1 variables:7 simplified:1 fast:1 directly:9 carry:3 impossible:6 open:5 xt:3 size:5 city:1 given:17 necessarily:1 checked:1 unduly:1 anyone:2 imposing:1 cite:1 speaking:1 gives:3 nordheim:1 way:23 moscow:2 continuous:4 eliminates:2 artifact:1 quan:1 eliminated:5 representing:2 than:14 coefficients:2 wide:2 shalit:1 rival:3 require:3 transferred:1 modelled:10 future:9 were:29 outcome:1 addressing:1 generality:2 dynamically:1 turned:1 argument:6 say:12 relevantly:1 any:33 accounted:1 functors:1 aside:1 note:1 equipment:1 intends:1 cantor:2 take:7 epsilon:1 encouraged:1 formulas:3 begin:2 sure:1 pain:1 trace:1 opposite:2 knew:2 clearer:3 ordinates:3 detect:2 importantly:2 formulae:1 remarks:2 america:1 synonym:2 especially:4 surprising:2 considered:6 average:11 later:11 steady:1 feynman:6 understandable:1 beables:1 laws:14 precise:11 show:2 representatives:1 discovered:2 bright:2 spaces:2 inconsistent:1 peano:1 hack:1 diverge:1 paradoxes:1 ground:1 ratio:4 reconciling:1 title:2 proportion:6 enough:4 only:46 going:3 black:1 developed:3 amplifying:12 correctly:1 viewpoint:1 get:7 straightforwardly:1 truly:2 cannot:15 nearly:1 justified:1 prime:4 consist:1 settings:1 nauenberg:1 yield:7 summary:2 naked:3 scientist:1 predicted:1 mapped:1 physically:22 violated:1 relative:3 euclid:5 violates:1 concern:1 satisfying:3 commutation:1 registering:1 ways:2 subsequent:1 definite:11 commitments:3 outside:1 αe:2 between:28 geometric:2 reading:1 notice:1 eye:3 cit:4 tacit:1 jn:4 spare:1 tum:1 analyzed:1 article:1 come:1 philosophically:1 successes:5 many:7 according:2 deduction:1 expended:1 expression:2 terse:1 jeans:13 period:1 insist:1 assertions:1 constant:4 v2n:7 branes:1 epistemology:1 unusual:1 submanifold:1 capable:2 skew:1 concede:1 combined:4 likewise:1 linguistic:3 direction:1 restrictions:1 offered:1 workable:3 extendable:1 observers:1 observe:1 weierstrass:2 irrelevant:4 former:2 those:9 sound:2 engineering:2 shall:1 situation:6 falsified:1 philosophies:1 theoreticians:1 coupled:3 regularity:1 bias:1 baths:1 primitives:1 motivated:1 wisely:1 demolition:1 worry:1 binary:1 different:26 verified:2 april:1 pay:1 granted:1 formulations:1 same:36 verifies:1 constructed:4 events:8 status:6 extended:5 assigns:1 singapore:1 postulation:1 hilbertian:4 invariance:1 totally:1 tradition:1 reference:2 electromagnetism:1 implements:1 undefined:13 without:18 solve:2 extensible:1 components:1 relied:1 model:22 grounds:2 bodies:1 justify:6 isometry:5 manifold:2 realisable:1 being:16 generally:1 adjusted:1 rest:2 ch:2 aspect:4 schwinger:1 speed:1 eorie:1 doctoral:1 death:1 assemblages:1 lebesgue:2 ny:2 thinking:1 seems:12 except:6 improvement:1 interested:2 goedel:2 treatment:2 versa:1 eigenstate:1 momentum:2 grip:1 mystery:2 aspects:5 rules:3 sketched:1 sums:1 harmonic:3 early:1 world:11 accepted:4 vague:3 ruled:1 particle:15 either:9 integrals:2 always:17 inter:1 stationary:3 reduced:4 gutmann:3 satisfactory:1 calculated:4 deduce:1 specified:1 complementarity:2 provided:6 dimensions:1 recorded:1 conservative:1 decomposition:1 transmutation:1 refer:2 measuring:6 felt:2 assembly:4 scientific:2 sixth:5 equivalent:3 assemble:1 evolve:1 ratios:1 2m:3 standpoint:3 refers:1 comparison:3 stone:1 central:1 theorems:1 generated:1 practical:2 stand:1 act:2 mixed:6 referred:1 road:1 fallacy:1 cambridge:4 psychophysical:1 inclusion:1 instruments:1 image:1 references:1 determine:1 einstein:16 elementary:3 alas:1 lastly:1 mental:1 weight:4 prepare:1 normalised:5 assumed:4 strictly:2 there:46 hertz:9 ordinate:1 start:1 detectable:4 decisive:3 assumes:3 complete:2 newtonian:2 vanishing:1 regard:2 sophisticated:2 circumvent:1 elimination:1 trying:1 irreversible:3 amplify:2 minkowski:1 robustness:1 frechet:1 liouville:4 taught:2 deductively:1 embed:1 agree:1 strongly:1 gone:1 ad:1 taste:2 certain:7 describe:3 am:2 replicable:5 general:8 littlewood:3 au:1 governed:1 vn:14 formulation:8 again:2 deserve:1 mathematica:1 field:2 valid:4 mathematics:12 you:4 congress:1 separate:2 symbol:1 remarked:3 deriving:1 a0:3 important:8 bounded:1 serious:8 assert:5 remote:1 requires:2 mass:3 parallelism:5 decoherence:1 resolution:1 original:2 represent:1 consider:5 pointing:1 invariable:1 commute:1 c2:7 follow:5 content:5 careful:1 referring:1 equivalence:4 extraneous:1 program:3 preserved:1 th:3 apport:1 stochastic:14 norm:4 case:13 amplitudes:7 worse:1 straightforward:1 very:12 datum:1 conjectured:2 interpreting:2 surprise:1 difference:7 condition:3 treating:1 hamiltonian:16 list:3 large:19 sane:1 unproblematic:1 small:4 immanent:1 portable:1 harder:1 past:1 zero:11 perspective:1 pass:4 further:7 amplified:1 canonical:2 what:44 villanova:1 stood:1 richard:1 section:6 brief:1 version:2 scientists:2 mazur:10 method:6 movement:1 edited:3 schilpp:1 full:4 answers:3 tiii:1 behaviour:1 anticipation:2 grundlagen:1 directions:1 strong:6 equations:4 search:1 ahead:1 difficulty:6 inspired:1 allows:2 experience:10 unproved:1 prior:2 amount:2 periodic:1 published:8 action:1 uniquely:3 negligibility:1 flash:1 followed:1 family:1 vis:2 analyzing:1 viz:1 herring:1 readily:1 environment:2 flaws:1 takes:4 probabilities:23 wiped:1 rightmost:1 ψt:1 nucl:1 ψo:2 pitching:1 mysterious:2 more:37 fiat:1 flaw:1 knows:1 emission:1 excuse:1 basically:3 studied:1 particular:12 known:6 foundations:12 producing:1 analogous:1 none:5 science:3 der:2 remain:2 evolved:1 abandon:3 history:1 compare:5 stated:3 abandonment:2 states:26 pushed:1 minimum:1 numbers:6 sense:11 exclude:1 mn:13 information:7 needs:3 goal:2 rather:6 occasionally:1 stemming:1 acta:4 explains:1 ensemble:4 needn:1 simplicity:1 algebra:3 derived:2 waves:2 contingency:2 fn:43 short:2 register:1 exhibited:1 negligible:15 fundamental:9 farhi:5 pleasure:1 dream:1 circularity:2 helv:4 help:1 ith:1 hierarchy:1 essence:1 soon:1 wiener:5 paper:17 through:2 lasers:1 signs:1 ignorance:2 existence:1 its:48 controllable:1 style:6 solving:4 actually:7 undecidability:1 harmless:1 absence:3 parts:1 microscopic:13 systems:15 travelling:1 might:6 alter:1 focussed:1 good:9 return:2 pauli:1 autocorrelations:3 secondarily:1 propose:1 prejudices:1 framework:2 walls:1 thereof:1 oxford:1 formulating:1 2t:1 easily:1 mathematician:1 fully:3 assemblies:1 presented:2 turns:1 found:5 2n:12 2i:1 defects:1 everyone:1 as6:1 formulate:1 mesoscopic:4 energy:6 hard:1 reduce:1 idea:15 recapitulate:2 measurement:57 quantum:72 beyond:1 event:13 really:9 travels:1 missed:2 wondered:1 discrete:1 nuovo:2 since:19 projected:1 publish:2 denoted:1 issue:1 occurs:1 bald:1 reformulated:1 confidence:1 differ:1 reformulates:1 reason:4 perturbation:1 put:12 heroic:1 revolutionary:1 definition:36 retained:1 round:1 american:1 neglected:1 throws:1 reinforced:1 major:6 seeming:3 probability:117 feel:2 relate:1 number:24 done:7 construct:6 passes:1 guess:1 penultimate:1 heads:3 temperature:7 introduction:3 twenty:1 least:8 belongs:1 assumption:5 prescient:1 statement:12 hundred:1 ehrenfest:2 passed:2 relationship:1 behind:1 needle:1 measurable:4 part:11 off:6 translation:1 believe:1 percentage:1 clarifying:1 king:2 kind:7 molecular:1 determines:1 cyclic:4 double:2 aims:2 determined:2 contrary:2 supposed:1 ruelle:1 motivation:1 exert:1 footnote:1 electrodynamics:2 substantial:1 alike:1 cleaned:3 kolmogoroff:11 lie:1 depending:2 lim:4 self:1 reliance:1 internal:1 kac:13 towards:2 infinitely:2 quote:2 most:2 experiences:1 significant:3 nothing:4 measured:6 mach:1 dpdq:2 ke:1 clear:9 sometimes:6 cover:1 physica:1 traditional:1 clean:3 realised:1 physics:57 i2:2 lumping:1 particularly:1 phenomenon:8 commas:2 registers:1 carefully:4 find:2 dilation:2 dividing:1 writer:1 distributed:1 assertion:1 failed:2 convoluted:2 factor:2 integrable:1 circle:1 darwin:9 lettre:1 abelian:5 his:28 notation:1 meanwhile:1 dependent:1 connections:1 express:1 methods:7 famous:3 feels:1 competing:2 combinations:4 him:3 continuum:1 arxiv:2 timeless:1 remove:1 investigate:3 common:2 precaution:1 wrote:2 approaching:1 apparatuses:1 set:17 throwing:1 undergoes:1 see:7 individual:6 descriptions:5 close:4 theoretic:1 ergodicity:8 probable:2 expert:1 various:3 incompatibility:1 probably:2 conditions:2 missing:2 generalised:2 attention:2 teleportation:1 incident:7 opposition:1 distinguish:2 dualism:6 both:1 last:3 zoller:1 influential:1 foreign:1 connection:2 symplectic:1 context:5 forgotten:1 whole:2 finds:1 experimental:8 point:30 simple:4 corresponds:1 whatever:1 dimensional:1 simply:9 adaptation:1 church:1 asserted:1 pp:5 described:7 due:8 whom:1 reduction:4 describes:1 coarse:1 ph:2 extreme:1 meeting:2 po:1 empty:1 lett:1 partly:2 great:4 else:4 understand:1 demand:1 resisted:1 p0:4 equivocation:1 conception:1 look:2 exponential:4 empirical:4 technical:1 while:2 replaced:2 match:2 rigour:1 couplings:1 real:17 unitary:2 mote:4 century:3 vol:2 vom:1 von:31 obstacle:1 owes:1 ready:1 stimulated:1 emphasize:1 widely:1 relatively:3 higher:1 development:3 calculation:4 used:17 paths:1 alert:1 usually:4 levels:1 necessity:3 robust:2 recent:3 eigenvectors:1 task:4 anybody:1 analysis:22 obviously:1 concrete:5 i2n:1 convenient:1 revising:1 chemistry:1 atomic:1 questions:2 using:3 λi:4 cut:10 kluwer:1 informal:1 alternate:2 describable:2 theorem:7 mod:1 solvable:1 transformation:2 motivating:1 lacking:1 demands:1 big:2 showing:1 additivity:1 cardinalities:1 philos:2 integer:3 formal:3 modifications:4 imposed:1 lost:1 envisioned:1 follows:2 resorted:1 consensus:3 imposes:1 indication:1 translated:1 limn:1 essential:4 terminology:1 mathematical:39 lucien:3 neumann:8 absolutely:1 largeness:1 some:39 back:2 jr:1 understood:1 added:1 b1:4 sight:1 b3:1 ourselves:2 gradually:1 scale:9 describing:2 measurements:7 novelty:1 planck:1 providence:1 eliminate:2 proc:2 prob:1 equipartition:1 run:1 agreement:3 restrictive:1 step:4 nowhere:1 hilbert:50 analysing:2 asserting:1 anything:5 deserves:1 range:1 germany:1 block:1 credible:1 seeing:1 incoherence:2 into:17 within:12 isomorphic:2 appropriate:5 primarily:1 paradigmatic:1 lesson:1 criticisms:4 statistics:1 classically:2 probabilistic:5 question:14 long:6 thirdly:1 borel:2 forward:2 yanase:1 anywhere:1 deductions:3 repeatedly:1 atom:1 line:3 inverse:1 intuitive:4 2πi:1 characteristic:3 up:14 us:25 un:3 sum:3 autocorrelation:3 similar:5 called:14 bell:11 associated:2 convey:1 defined:27 focussing:1 influence:4 singly:1 single:3 formalise:1 unwise:1 formalism:1 countable:4 paradox:1 conceptions:1 points:9 hove:1 arithmetic:2 explaining:1 elements:4 calculating:1 problems:8 prepared:1 meaning:12 fisher:1 sides:1 structure:18 vice:1 required:2 orbit:2 graining:1 equivalently:1 correlates:1 far:6 everywhere:1 imprecise:2 having:3 once:2 priori:1 amplifier:14 results:21 existing:3 alien:1 eds:1 proposition:7 philosopher:1 gn:5 psycho:2 adjustment:1 contributions:1 issues:1 seemed:2 compact:1 gases:1 pasch:1 zeh:1 concerned:4 deterministic:16 languages:1 uniqueness:1 excluded:1 stable:1 fatal:1 asume:1 implicitly:1 wave:21 wishes:2 putting:1 continued:2 entire:1 rigourous:5 magic:1 incoherent:2 positions:2 notes:1 fewer:1 try:3 session:1 eigenvalues:2 optics:1 smaller:1 sensation:1 crop:1 maintain:2 jump:1 incidentally:1 dynamics:19 odd:3 click:1 plays:1 apparatus:34 giving:6 analogously:1 expressed:3 cell:1 experiment:19 implementable:1 justification:2 led:1 degree:3 lem:1 desired:1 identifications:1 separation:1 others:7 mises:5 imperfections:1 deduced:3 settling:1 remark:1 cern:1 involved:2 larger:2 contradiction:2 suggests:7 resulting:2 existent:1 opinion:4 implement:1 unpacking:2 makes:5 involves:1 composed:1 examining:1 named:1 formulated:2 claim:6 hardy:11 boolean:1 decrease:1 privately:1 apply:3 analyses:1 use:21 superpositions:3 remains:2 pedagogical:1 next:6 few:3 doubt:2 themselves:4 noisy:1 sort:8 formally:3 becomes:9 digits:1 allahverdyan:2 labelled:1 iii:1 hints:1 topic:1 account:1 balls:1 alia:1 lorentz:1 obvious:2 meet:3 pedagogy:1 averages:10 proof:2 proprietary:1 process:19 purposes:2 pieces:1 reconstructed:1 assumptions:2 something:3 transpires:1 sir:2 rescaling:2 varied:1 six:3 hampshire:1 evidently:1 varies:3 reducible:1 instead:10 mysteries:1 establishment:1 zurek:1 circular:6 de:4 philosophy:5 uhlenbeck:2 disproved:1 society:1 introduced:6 light:1 counter:2 lines:3 wittgenstein:3 element:3 allow:3 op:4 divided:2 archimedes:1 wigner:12 insight:2 interpreted:2 mathematicians:4 own:7 mentioned:1 deducing:1 write:1 la:2 chosen:1 relativity:2 subensemble:1 specialisation:1 degrees:6 choose:2 covered:1 defining:6 greater:1 orthodox:2 auto:6 outlined:2 b2:3 bulk:3 billiard:1 das:1 day:3 dirac:5 profound:1 university:1 identified:1 correlative:1 l2:2 truth:3 soc:2 subset:3 weyl:2 completions:1 doing:1 related:1 inverted:2 operator:10 frequency:15 sands:1 measure:29 our:31 special:5 out:21 category:3 respects:1 matrix:5 borderline:1 rev:2 chaos:2 alexandroff:1 suffices:1 math:3 dictionary:4 8f:1 diagonal:1 clarify:1 completely:5 surely:1 york:4 likelihood:2 log:1 interaction:8 geometry:10 could:26 times:6 length:1 removing:1 hence:5 retain:2 heuristically:1 powerful:1 reaches:1 intuitively:3 phil:1 reached:1 precisely:13 dispersion:1 ancient:2 fair:2 adjoint:1 behaves:1 πn:1 system:69 adopted:3 their:22 final:1 misunderstood:1 exactly:10 overwhelming:1 dynamical:24 detection:5 succeeded:6 isolation:2 cimento:2 richer:1 submitted:1 limiting:6 amplitude:1 negatively:1 rate:2 distinguished:1 exhibit:1 symmetries:3 unchanged:1 spelled:1 correspond:1 gentle:1 unlikely:2 need:22 apparently:1 clearly:4 afraid:1 able:2 gravity:2 concerns:1 incorporating:1 subject:2 accuracy:1 heisenberg:4 lectures:1 ray:2 asserts:1 axiomatic:34 who:1 mimics:1 connected:1 preliminary:2 device:6 why:8 subjective:2 consequences:2 neutral:1 face:1 proceedings:3 fowler:9 fact:23 selection:2 violation:3 text:1 charles:1 anyway:1 nagy:1 purely:2 fear:1 trivial:2 based:3 knowledge:1 loinger:3 should:35 bases:2 ambiguity:1 inherited:1 local:4 principia:2 hope:1 equilibrium:3 meant:3 means:18 joint:3 ones:7 legitimate:1 words:2 procedures:5 evolution:2 cycled:1 calling:1 europhys:1 contain:1 fixed:8 qo:1 view:7 requirement:1 untrue:1 motions:2 exists:4 exerted:1 correlations:2 packet:5 edition:1 operated:1 closer:4 imposition:1 ralph:1 tend:3 state:55 difficulties:3 closed:2 routine:1 progress:5 neither:2 ability:1 p2i:1 however:6 key:1 distribution:10 observable:14 commands:1 limits:8 taking:2 decay:5 equal:5 fulfilled:1 etc:6 admit:1 attributes:1 passing:4 schroedinger:5 otherwise:2 ci:4 relevant:2 co:4 leipzig:1 wonder:2 cf:1 undergraduates:1 decreases:1 sequences:9 respect:9 accomplishing:1 reliably:1 trajectory:4 cauchy:2 treat:1 define:17 adapting:1 arises:3 sufficient:1 coherence:1 subspace:4 meaningless:1 neighbour:4 improved:1 c1:1 present:4 quotation:1 multi:3 main:1 contexts:1 wellknown:1 triggers:1 appearance:1 value:10 will:86 dualise:1 xv0:1 determinism:3 postulating:2 vc:3 almost:9 vi:5 thus:7 surprisingly:1 surface:3 vo:7 vq:1 quantique:1 optimistic:2 dual:4 sudbery:1 perhaps:12 began:1 propensity:1 unity:2 strange:1 gibbs:9 finite:10 difficult:2 infinity:6 grassmann:1 conceived:1 effect:5 v0:4 v1:2 v2:3 emphasized:1 infinite:12 whale:1 identity:1 expense:1 schr:5 nevertheless:2 ingredients:1 well:12 unpacked:1 bohr:3 thought:4 sets:2 firstly:4 position:12 arising:1 usual:19 less:3 accurate:2 obtain:3 underlying:9 macroscopic:24 afflicted:1 density:2 nonrelativistic:1 mathematically:1 thermodynamics:3 add:1 other:27 nor:3 propositions:5 confusions:1 ought:6 definitive:2 famously:1 increases:4 five:2 know:3 deployment:1 immediately:4 amply:1 sublimate:1 loss:1 necessary:10 like:8 success:2 extremely:1 admitted:1 dept:1 become:2 page:1 accessible:4 because:28 classical:39 sequence:16 phenomena:5 choosing:1 recommendation:1 neglecting:4 scales:2 cψ:1 lead:3 avoid:1 overlap:1 does:31 discretion:3 assuming:2 noise:2 obey:2 slight:1 journal:2 analysed:4 although:8 tautological:1 stage:2 a1:4 about:26 actual:5 carried:1 getting:1 freedom:7 certainty:3 location:2 carries:1 sumed:1 revise:1 equally:2 rendered:1 previously:2 h1:2 probabilites:1 functional:2 criticised:1 chemists:1 pointless:1 mere:3 hannabuss:2 spots:1 noticed:1 intention:1 quadratic:1 crucially:1 mazure:1 naturally:1 function:30 sequel:1 but:86 approximates:1 volume:2 repeated:6 construction:3 hn:20 he:27 count:2 challenges:1 made:17 places:1 instructive:1 whether:10 wish:3 exerts:1 limit:70 demonstrate:1 problem:42 piece:1 minutes:1 mechanics:71 reservations:1 domino:2 ergodic:16 goodness:1 piv:1 functions:10 compared:2 variety:2 trials:6 detail:3 book:1 compares:2 details:1 branch:1 illusion:1 symposium:3 june:1 shown:2 chance:1 stab:1 qτ:1 astronomy:1 18b:1 coupling:9 rule:1 strings:1 determination:1
|
0705.2555.txt |@word minors:2 consider:1 pointing:1 focus:1 leads:1 computation:1 go:1 follow:1 expressions:1 inverse:1 ginibre:1 disposal:1 finally:1 th:4 under:1 analogous:1 mehta:1 straightforward:1 orthogonal:15 jpdf:3 results:1 matrices:3 condition:1 generalised:3 school:1 presented:1 accidentally:1 occurs:1 large:3 rj:1 eigenvalues:2 zn:3 smaller:1 coefficient:1 fold:3 second:4 substitute:1 linear:1 bilinear:6 index:1 iterating:1 section:1 above:2 suppose:1 learned:1 increasing:2 consisting:1 unintegrated:3 satisfy:1 brunel:1 respectively:1 here:4 appears:1 contraction:5 antisymmetric:1 allows:2 step:11 resulting:4 makes:1 formulated:1 useful:1 integrations:5 replace:1 rσ:2 apply:4 linearly:1 would:1 prove:5 remains:3 positive:1 predictions:1 ψj:7 few:2 ψi:1 ψn:4 ψl:4 ψb:5 ψa:9 minor:1 andr:3 particular:2 known:2 cases:2 hold:1 iii:2 fermionic:1 valued:2 integrating:2 recall:1 work:1 det:36 reproduce:1 hope:1 following:8 nonsingular:1 arrive:1 example:4 stimulating:1 proof:7 heart:1 degenerate:1 indicated:1 stated:2 expanding:1 cited:2 dxm:1 dxl:4 dxi:3 kanzieper:3 feasible:1 information:1 united:1 end:1 darboux:1 holds:4 orthogonality:1 how:2 ordinary:1 ensemble:2 simplicity:1 product:4 may:3 after:3 variant:1 different:2 dx1:1 applications:3 plane:2 wave:1 short:1 third:1 explicit:1 cannot:1 lhs:5 correlation:5 representation:1 first:4 order:1 ϕk:1 over:10 dy:3 satisfied:1 interpreted:1 already:1 london:2 mentioned:1 satisfies:2 still:1 its:1 before:1 derive:2 symmetry:3 clj:2 clk:3 interesting:1 lk:1 writing:1 systems:1 dq:4 into:4 non:4 propose:1 amenable:1 pfaffians:1 identically:2 now:2 eigenvalue:4 finite:1 always:1 university:1 orthonormal:1 each:6 entirely:1 side:2 2k:1 financial:1 weight:3 reduce:1 gaussian:2 contracting:5 used:4 measure:1 our:7 happen:1 beyond:1 eq:18 ep:1 special:3 out:5 shown:2 matrix:8 factors:1 furthermore:2 since:1 rev:2 cancels:1 research:1 replacing:1 formula:4 integrated:5 math:5 rk:4 stat:1 theory:3 derived:1 standard:1 reason:2 subsequences:2 epsrc:1 definition:3 qj:11 r1:3 times:2 counterpart:1 symmetrised:1 integrand:1 xj:7 xk:6 xi:12 xn:1 probability:1 reveals:1 variables:5 number:1 thereof:1 restrict:2 set:5 least:1 directly:1 precisely:1 illuminates:1 size:5 equating:1 given:7 exists:1 forrester:2 introduction:1 xij:1 vandermonde:2 construct:1 their:1 expand:1 statement:1 recovered:1 gives:1 academy:1 exactly:1 proving:1 guhr:1 part:3 x1:2 than:1 taken:2 zero:2 were:1 motivation:1 rewrite:1 acknowledged:1 uxbridge:1 seen:3 factorises:1 any:2 symmetrized:1 self:12 able:1 note:1 sciences:1 so:1 unless:1 centre:1 rhs:10 most:1 but:1 remarks:1 tracy:1 acknowledgements:1 why:1 partition:2 kn:35 principle:1 physics:1 sum:4 fact:1 akemann:3 atmosphere:1 show:2 random:4 relation:1 trivial:1 q1:7 ensembles:3 less:1 should:2 being:1 only:3 integrable:1 columns:2 do:1 his:2 goes:3 notation:1 get:3 generalise:1 joint:1 ones:2 dx:14 ϕj:2 combinations:1 during:1 areas:1 runs:1 determinants:10 widom:1 arxiv:5 method:1 paper:1 common:1 contain:1 qi:5 through:1 qk:7 fixed:1 qn:9 kernel:21 multiplying:1 rmt:5 burst:1 imposing:1 correlations:1 edition:1 see:3 result:3 close:1 satisfying:2 arxive:1 symmetric:1 written:2 invariant:2 multiplied:1 terms:2 nature:1 gratefully:1 vanishing:2 solv:1 contractive:2 thank:2 both:1 last:4 many:1 taking:1 mrtn:1 verbaarschot:1 context:1 comment:1 generalisation:5 relevant:1 co:1 point:2 community:1 simply:2 normalisation:8 ct:1 considering:1 kernels:4 west:1 three:1 been:1 int:1 workshop:1 pj:3 pk:7 ph:3 pi:15 pn:3 abstract:1 choose:3 determinant:28 referee:1 observe:1 c2:1 present:1 granted:1 case:6 p1:4 expanded:1 evaluated:2 will:5 replaced:2 applies:1 situation:1 property:7 real:4 unitary:4 thus:7 ii:3 vanish:1 containing:3 grant:1 make:3 lett:1 same:2 φa:3 complex:2 arguments:1 widely:1 φi:5 φj:7 φk:3 φn:8 european:1 emphasise:1 arrives:1 trivially:1 hand:3 identity:2 recent:1 off:1 obviously:1 academic:1 without:2 sets:3 model:2 stating:1 left:1 just:1 cj:1 moments:1 obtain:1 pfaffian:4 using:5 alternative:1 previous:2 conclusions:1 setting:1 choice:1 easy:1 theorem:34 remaining:1 dqk:4 kingdom:1 easily:2 read:1 3ph:1 press:1 immediately:2 moreover:1 like:1 insert:1 necessary:1 dq1:4 follows:5 niels:1 steps:1 integrals:7 arbitrary:2 reduced:2 mathematical:1 right:1 deal:1 some:1 back:2 pσ:2 respect:4 proofs:1 ourselves:2 nonzero:1 integration:14 comments:1 manipulations:1 contrast:1 organisers:1 refer:1 inserting:1 rank:2 power:1 bi:2 quaternion:2 binomial:1 relating:1 column:5 o:1 range:1 introduced:1 consequently:1 statements:1 christoffel:1 previously:1 dyson:15 integral:4 due:1 multiply:1 because:2 references:2 reducing:2 hep:1 ψk:2 support:1 there:2 class:3 start:1 way:1 was:5 function:10 form:1 δkj:2 jul:1 hk:2 repeated:1 hi:2 line:1 true:2 absent:1 applying:1 inside:3 up:2 us:3 below:1 limit:3 distribution:1 define:2 similar:1 called:1 proved:1 computing:3 defined:1 universal:1 ub8:1 general:4 single:6 exist:3 ni:1 functions:18 no:2 rains:2 when:7 vanishes:2 schwinger:2 application:2 other:2 details:1 department:1 mathematics:1 briefly:1 elements:1 polynomials:10 network:1 independently:1 monic:2 presenting:1 bohr:1 having:2
|
0705.2556.txt |@word equalmass:1 monte:1 faber:1 consider:2 pointing:1 limited:1 resist:1 global:1 results:4 roy:2 edp:1 disc:3 computation:1 tranfer:1 morphology:9 perturbations:1 gm:1 contributions:1 alp:2 3m:1 transferred:1 paris:1 abundance:1 passage:1 does:2 wako:1 ti:4 include:2 brown:1 worse:1 minist:1 very:3 aarseth:2 ostriker:2 seemingly:1 fall:4 mixing:1 encounter:1 cool:1 severely:1 steeper:2 eds:1 cause:1 cmb:2 correct:1 large:14 settle:1 34q:2 enclosing:1 small:8 noted:1 20th:1 configurations:1 natarajan:3 smaller:2 force:1 plummer:1 estimates:1 direct:4 approximation:2 3a3:1 second:3 timescales:1 kaiser:3 follow:1 link:1 further:1 ter:1 carlo:1 λcdm:1 even:2 index:3 tsuchiya:4 sub:7 ere:1 giving:1 3r:1 axes:1 remain:2 uniform:1 current:1 axial:1 above:2 required:1 net:2 ever:1 method:1 body:9 evolving:1 dwarf:10 degree:1 mechanisms:2 never:2 here:2 explore:2 cylindrical:1 relaxation:8 alone:1 ratio:2 along:1 change:1 obtained:6 institute:2 study:3 larger:6 allows:1 expression:1 gravitationally:1 expulsion:1 suggests:2 recently:1 ineffective:2 milky:1 narrow:1 studies:2 involves:1 offs:1 klessen:3 followed:2 padmanabhan:2 scales:9 triaxial:9 highly:1 sgi:1 remnant:1 9q:1 apply:2 total:2 establish:1 relating:1 confidence:2 proceed:2 would:16 remains:3 france:1 few:3 circumstances:1 kinematics:2 therefore:6 m3:1 relativistic:2 survive:4 themselves:1 governato:3 toomre:1 more:8 flat:1 populations:2 clearly:2 thus:2 under:2 3nk:1 disruption:2 appendix:1 profiles:1 impulse:2 known:1 actual:2 cases:1 hold:2 burkert:1 clumps:27 must:3 fly:1 sample:2 account:4 crosses:1 tokyo:3 challenge:1 rederived:1 astronomisches:1 reproduce:1 makino:3 zhao:7 thin:2 springel:1 could:1 history:3 heart:1 stream:3 give:1 process:1 expanding:1 grant:1 near:2 weinberg:2 high:5 effectively:1 application:2 numbers:1 occur:3 garden:1 end:4 decaying:1 provide:2 clarke:2 algorithms:1 chemical:3 integrators:1 varies:1 shibuya:1 symposium:1 guarantee:1 parameter:2 divides:1 isotropic:1 suffer:1 map:1 fr:1 morphological:2 galactic:14 substructure:1 spitzer:2 may:16 after:1 derived:2 orbits:1 lump:1 hence:4 plane:1 virialised:3 law:2 revealed:1 concerns:1 efficiently:1 short:1 substructures:12 effective:3 computations:1 light:1 tailored:1 acknowledged:1 shutting:1 cosmology:3 bunkyo:1 fraction:2 negligible:1 progressively:1 allow:2 presentday:2 halos:2 region:2 sackett:1 order:2 hashimoto:2 katz:1 interpretation:1 kampen:2 indeed:1 over:3 fft:1 murray:2 interpreted:1 course:2 rounder:1 already:2 through:11 spheroidal:1 argued:3 japan:4 cold:2 still:4 its:3 galaxy:8 before:3 observational:2 sciences:1 outer:1 lc:4 fit:1 acknowledge:1 ln:1 masses:4 solving:1 virialisation:2 late:1 offers:1 lewis:1 systems:4 derivative:1 decades:1 texas:1 lacey:2 maximal:1 non:1 matches:1 outlined:1 processes:1 emphasised:1 scaling:3 disrupted:1 they:7 avenues:1 satellites:6 now:1 day:1 halo:31 term:1 hereafter:1 2r:1 fully:2 university:3 presented:2 marzke:1 lowmass:1 magnitude:1 radial:2 found:3 universit:1 difficult:1 outs:1 mean:5 heavy:1 series:2 energy:11 related:1 solution:1 extended:2 measure:1 ft:1 approximated:1 adequately:2 neighbourhood:2 out:1 shown:2 unbound:1 space:4 furthermore:1 since:3 rev:1 semi:1 research:1 particles:5 v5:1 acting:1 spurzem:3 mγ:1 formula:1 issue:1 ri:5 shows:1 debris:3 asp:2 linear:1 yale:2 galaxies:13 free:5 indices:1 statistics:3 formation:23 york:1 dynamics:3 institut:1 estimate:1 interaction:1 r3:1 argument:1 collapsing:2 frenk:2 times:1 motion:1 length:1 produce:2 place:3 massive:1 ltd:1 consequence:3 approaching:1 clump:11 strictly:1 first:5 there:2 ff:1 symmetry:2 perturb:1 relate:1 rachel:1 papaloizou:2 number:14 reaches:1 efstathiou:3 dominating:1 another:2 precisely:1 size:8 given:1 destructive:1 fukushige:2 strasbourg:1 their:13 introduction:1 data:1 system:7 relations:2 response:1 theis:2 redistributing:1 cooling:1 accretion:4 merrifield:1 too:1 calculations:6 white:7 destruction:2 structures:13 recovered:2 low:2 disks:1 collapse:5 discussion:1 radiation:1 relative:1 exactly:1 immediate:1 binney:2 lynden:2 part:3 bower:2 authors:2 than:8 meshing:1 dynamical:5 begins:1 observed:3 kazantzidis:2 rate:4 matter:11 individual:3 taffoni:3 aas:1 were:1 tion:1 gives:1 diaferio:1 zentner:1 sees:1 saitama:1 martel:1 calculation:2 ram:1 spectrum:9 tide:1 substantial:1 unlikely:2 need:3 orders:1 relatively:1 strength:1 built:1 self:5 axisymmetric:4 mechanism:1 note:2 instance:3 empirically:1 potential:11 take:1 forces:3 destroy:1 mayer:3 unperturbed:1 experienced:2 unless:2 established:1 any:4 most:1 germany:1 significant:3 phase:11 whence:1 analytically:1 measured:1 appear:1 removal:1 peaked:1 scientific:2 32g:1 consequences:1 clear:3 later:1 questioned:1 2gm:1 proceedings:3 points:1 principle:1 ku:2 velocity:2 verde:2 axi:1 physics:1 wavenumber:1 precise:1 apj:26 show:3 cdm:3 friction:3 evaporation:1 mnras:24 bright:1 relation:7 participate:1 substituting:3 font:3 fine:1 find:7 impact:1 o:2 slow:2 based:1 baryonic:3 should:2 analytic:1 only:3 princeton:2 rich:1 factor:3 constant:2 population:3 des:1 ρrel:1 achieve:1 equilibrium:4 do:1 his:1 zeldovich:2 invoke:1 get:1 dependent:1 secular:1 de:3 quantified:1 fluid:1 likely:1 orbiting:2 boily:11 tailor:1 progress:1 during:13 conjunction:1 bardeen:2 falling:1 evolution:8 resolve:1 densities:1 fields:2 tff:14 arxiv:1 fixes:1 shape:2 across:1 navarro:5 discs:5 mo:2 contain:1 shi:1 4πm:1 fixed:3 gravitational:3 mergers:1 view:2 4g2:2 coefficient:1 achieved:7 irradiation:1 jimenez:1 rechen:1 up:9 detection:1 see:8 computer:6 radius:11 result:3 discussions:1 sporadic:1 best:2 eres:1 cole:2 runs:1 subsequent:1 diverge:1 symmetric:2 macros:1 smallest:1 chosen:1 between:9 crude:1 drawn:1 encounters:5 checks:1 preserve:1 seeded:2 terms:3 baryons:4 vertical:1 nature:2 initially:2 supernova:1 handful:1 however:4 jr:1 rapidly:1 gratefully:1 cut:1 french:1 demonstrate:1 kroupa:7 virial:4 problem:3 concentrated:1 both:2 stages:1 always:1 taking:1 heating:16 contract:1 sensitive:2 colpi:2 flores:1 streams:2 context:2 syer:3 contribution:1 argue:2 whole:1 finds:1 dm:1 ch:1 timescale:1 bell:2 simple:1 overview:1 address:1 period:2 harbour:1 respect:1 san:1 conference:1 destroyed:1 pp:1 decoupling:1 simplification:1 locally:1 three:1 been:1 workshop:2 basic:1 helmi:2 ph:3 dwarfs:3 corresponding:1 cosmological:2 observable:1 suppress:1 sufficient:3 coherence:1 photon:1 new:1 gap:1 gao:4 coherent:1 covers:1 c3:1 despite:1 present:3 case:1 regimes:1 developing:2 funato:1 primack:2 aip:1 evaluated:2 will:13 l123:1 while:4 programme:1 match:1 applies:2 situation:3 irwin:2 leaves:1 resolved:1 orientation:1 vol:3 funded:1 metric:1 strasbg:1 binding:5 them:2 cluster:1 owing:1 against:1 conf:2 hirosawa:1 mpc:1 around:1 orbital:2 different:2 fate:1 author:1 suggest:1 make:1 locking:1 cross:1 same:1 linked:1 shifts:1 parts:1 arguments:1 largest:2 units:1 several:5 conflict:1 higher:2 satellite:6 used:3 singapore:2 numerical:5 effect:2 stadel:1 devoid:1 nk:21 appreciable:1 robust:4 bosma:1 francisco:1 recent:1 early:2 mujica:1 off:1 modes:1 changes:2 well:5 analysis:2 evrard:1 severe:1 sets:1 arising:1 lin:2 kauffmann:2 spherical:12 routinely:1 less:2 axisymmetry:1 gravity:1 narrubia:2 violent:7 underlying:3 cˆot:1 merge:1 alternative:1 somerville:6 yet:6 nbody:1 blow:1 rapid:3 preprint:1 hills:2 density:6 point:1 had:2 lake:1 spread:1 attractive:1 theorem:1 bond:1 stable:1 disrupt:1 heidelberg:2 realisations:1 identical:1 tests:1 asymptotically:1 increased:1 depends:1 loss:1 survival:6 possible:2 cf:1 dark:21 inflation:1 background:7 cosmical:1 press:2 using:2 bullock:6 advanced:1 scaled:2 imposed:1 incompletely:1 particle:9 desitter:2 reduces:1 velocities:1 loses:1 shapes:2 yields:1 starting:1 powerspectrum:1 tower:1 observatoire:1 athanassoula:2 therein:1 because:1 wheeler:1 some:1 conditions:2 oh:1 deduce:2 growth:5 gilmore:1 redshifts:1 star:1 infall:5 provided:2 scale:4 dense:1 sufficiently:1 broad:1 toth:2 future:1 integration:1 cosmogony:2 critical:1 provides:1 ibata:4 minimal:1 either:1 assembly:1 obey:1 power:12 performed:1 lose:1 expansion:1 rue:1 stellar:5 host:3 ratios:2 instability:1 tidal:29 post:2 prepared:1 properties:1 stage:3 gained:1 inter:1 central:1 world:2 simplify:1 aguilar:2 universe:6 discussed:2 realistic:1 simulation:4 ωh2:1 range:4 haloes:15 obeys:1 done:1 west:1 johnston:2 ot:1 consequently:1 automatically:1 equally:1 cambridge:1 route:1 undergo:1 within:2 bound:6 due:5 down:1 appropriate:1 references:2 determine:1 einstein:2 1999a:4 jing:2 1999b:2 van:5 albada:3 sfb:1 support:2 initial:8 spiral:1 long:3 awarded:1 kravtsov:3 inner:7 stars:4 ed:5 astrophysics:1 formed:1 was:3 function:12 survives:2 underestimated:1 form:3 latex:1 forming:1 pe:2 ghigna:7 independently:1 but:1 astro:4 heat:1 hierarchical:2 plague:1 solar:2 convergence:1 eas:1 true:1 longer:1 count:1 fragmentation:1 made:2 compute:1 gravitating:4 whether:2 inside:1 uv:1 smooth:1 maximum:5 below:2 erase:1 those:1 column:1 gould:2 2003b:1 fluctuations:2 distribution:11 2003a:3 similar:1 distance:2 gnedin:3 associated:1 moore:12 classic:1 defined:1 stripped:1 abstract:1 tormen:2 deep:1 evidence:1 single:1 periods:2 simulations:13 perez:2 gradients:1 work:2 distributions:5 internal:1 physical:1 mutual:1 compared:1 relaxing:1 no:3 way:1 when:11 cˆ:1 preventing:2 field:9 other:2 travel:1 department:1 guiderdoni:1 igm:1 conclusion:2 picture:1 elements:2 accounted:1 models:1 gas:7 tides:1 lucia:2 drag:1 tribution:1 accounts:1 dissipation:1 astronomique:1 astronomy:2 structure:11 building:1 bulk:1 unbind:1 regime:1 faster:1 l63:1 resolution:9 american:1 bottom:2 orbit:1 together:1 cohesion:1 depth:1 stripping:1 mass:38 time:11 blumenthal:2 accreted:1 requires:2 enrichment:1 once:1
|
0705.2557.txt |@word gv:30 quarks:1 allowed:2 consider:6 gp:5 equalities:4 results:1 leads:4 comments:1 edu:1 go:2 expressions:1 research:1 contributions:8 whose:4 depend:3 violate:1 ac02:1 tw:2 ts:5 tp:5 presents:1 charge:10 kη:2 under:11 analogous:2 include:3 forbidden:4 indicating:1 division:2 updated:1 kπ:1 amplitudes:4 very:2 soni:1 differently:1 octets:2 wave:7 decide:1 mixing:7 experimentally:2 difference:2 exact:1 school:1 b283:1 notes:1 michael:1 zupan:1 large:3 vector:20 math:1 harry:7 small:6 eigenvalues:1 noted:1 smaller:1 tel:2 consistent:2 prediction:7 approximation:3 second:1 rigorous:1 qualitatively:1 dynamics:3 odd:20 even:17 errors:3 appear:1 sum:12 find:2 experiment:2 above:1 destroyed:1 new:9 contributes:2 satisfy:1 justification:2 here:4 ozi:1 others:5 directions:2 strong:11 equations:1 appears:1 change:1 extreme:2 lipkin:8 search:4 institute:1 leaves:1 larger:2 approaches:3 commonly:1 zoltan:1 resonance:2 halperin:1 via:3 followed:1 br:88 classification:2 sgs:1 gluon:14 summation:3 meson:13 predicted:2 flavors:1 conventional:4 usa:1 commun:1 remains:1 positive:2 contains:5 predictions:4 few:2 noting:1 m1:2 therefore:6 qcd:9 jonathan:1 diagrams:1 more:5 separated:1 israel:2 rehovot:1 tested:2 particular:2 known:1 cases:1 producing:1 vpk:1 must:4 states:41 science:1 challenge:1 ρo:7 remain:1 values:3 three:1 compare:1 gordan:1 process:1 arise:1 neglected:2 kρ:1 ratios:9 indicates:2 assumptions:1 numbers:8 magnitudes:1 standard:6 jure:1 tan:5 argonne:2 end:1 discussion:1 breaking:1 occur:2 write:1 nontrivial:1 ordinary:2 sin:4 badly:2 de:1 description:1 may:2 use:1 containing:2 gardner:2 diagram:9 produce:2 xorg:1 faculty:1 data:21 natural:1 dynamical:2 susan:1 lines:3 su:22 element:2 their:5 so:1 pleasure:1 sg:1 make:2 nonstrange:3 produces:4 developed:1 pointed:1 eqs:1 mainly:1 soon:1 unjustified:1 produced:7 paper:1 including:6 statistical:1 letters:4 satisfies:1 still:3 its:5 before:3 group:1 thank:1 fit:1 decay:15 matrices:1 solving:1 conjugation:8 actually:1 aviv:2 choose:1 relate:3 mail:1 violating:1 good:3 combination:4 they:2 now:8 discuss:1 nor:1 eigenvalue:3 inversion:1 ewp:3 equality:2 university:1 2x:1 ligeti:1 unpredictable:1 magnitude:3 reasonable:1 each:1 references:1 constraints:2 heavy:2 another:1 energy:3 idea:1 related:4 elementary:1 decays:16 isospin:10 ex:1 combining:3 multiparticle:4 laboratory:1 transitions:6 eq:4 grossman:1 out:1 leave:2 matrix:7 factors:11 admixtures:2 since:9 rev:8 investigate:1 denotes:5 similarly:1 seriously:1 dominated:4 reader:1 denoted:6 squares:1 ref:4 disagreements:1 shows:1 marek:1 linear:2 interactions:5 frank:1 zweig:1 possibility:2 quark:18 completely:4 york:1 members:2 latest:1 inevitable:1 gronau:2 pairs:2 interaction:14 created:1 could:1 transition:15 feasible:1 rosner:3 corrections:1 generalizations:2 neglect:7 first:9 exotic:14 initial:5 symmetry:20 omitted:1 nir:1 antiquark:9 neglects:1 directly:1 precisely:1 open:1 iizuka:1 obtainable:2 unknown:2 interact:2 sackler:1 system:4 relations:9 needed:1 intermediate:8 listed:2 calculations:3 9c:1 final:27 gives:6 uds:2 observable:2 electroweak:6 assumption:8 part:2 too:1 than:2 coefficients:1 begins:1 observed:2 approximations:1 tree:3 clebsch:1 isovector:2 determined:4 amplitude:7 exhibit:1 m2:2 b254:1 symmetries:2 igor:1 generalization:2 conjugate:2 iii:1 seen:4 confirms:1 any:8 angle:4 yosef:1 able:1 note:3 sciences:1 high:10 generalized:5 destroy:1 summations:4 channel:2 sug:6 components:1 shall:1 collaboration:1 most:3 charm:3 significant:1 phase:7 acknowledgements:1 instrinsic:1 branching:11 consequences:2 ckm:2 average:4 later:1 implications:3 vertices:3 atwood:1 larry:1 reflections:1 chiang:2 subgroup:3 physics:9 fact:1 precise:1 selection:2 show:2 violation:4 supported:1 relation:10 carefully:1 indicate:1 ratio:6 parameters:1 charmless:10 ηd:7 2br:8 only:9 hadronizes:1 conformation:1 positively:1 factor:6 admixture:2 over:3 conserving:1 do:5 dominant:1 goes:2 dd:2 between:14 cannot:1 report:1 ssg:1 represented:1 alexander:1 arxiv:1 veneziano:1 factorization:3 d16:1 bad:1 common:2 qg:2 hadronization:1 predictive:1 set:2 clarified:1 cimento:1 national:1 relative:7 see:2 individual:1 descriptions:2 biedenharn:1 discussions:1 stanley:1 flavor:23 analog:3 clarifies:1 phases:3 detect:1 tensor:2 eigenstates:2 state:28 correctly:1 simplest:4 subscript:3 babar:8 approach:8 available:1 terms:1 complementary:1 emitted:2 weak:15 however:4 concentrate:1 distinguish:2 okubo:1 come:1 both:10 cos:4 equal:4 contract:1 agree:1 sensitive:1 involve:2 interesting:1 contribution:12 expression:1 experimental:17 relevant:2 point:1 simple:6 smith:1 corresponds:1 alone:2 ii:1 written:1 simply:1 cp:11 pseudoscalar:25 considering:2 better:1 combines:1 isotriplet:1 described:1 basis:1 bramon:1 due:2 been:1 much:2 interest:1 expected:1 ph:6 define:2 nuovo:1 arises:1 corresponding:1 finishes:1 kaon:12 sufficient:1 coherence:1 subspace:3 further:5 oπ:1 systematic:1 general:2 spin:10 violations:5 those:2 case:5 k2:5 exception:1 look:4 karliner:1 conserved:3 value:2 will:4 cern:1 while:1 replaced:1 couplings:1 b633:1 full:1 averaging:1 refs:1 thus:5 non:1 respected:1 il:2 dual:1 vz:1 avg:5 conserve:1 different:2 gluonic:3 intrinsic:2 lett:8 same:8 tells:1 member:4 strange:13 units:3 φk:7 difficult:1 breakdown:1 independent:9 calculation:1 used:7 http:1 raymond:1 slac:1 upon:2 require:1 hand:2 compared:1 uses:1 appreciable:2 unpublished:1 infinite:1 reflection:1 usual:1 well:1 analysis:3 academic:1 without:1 spectator:12 hfag:10 model:16 charged:3 quoted:1 less:1 rotated:1 obtain:1 rest:2 vanishes:1 quotes:1 underlying:1 predicts:4 sufficiently:1 multiplet:2 alternative:3 yet:1 previous:1 adding:1 mix:1 harari:1 seems:1 except:1 confirmed:1 signals:3 priori:1 combine:1 questioned:2 relevance:1 extensive:1 eigenstate:2 momentum:3 gave:1 real:1 tests:4 yuval:1 rules:2 b51:1 sums:1 possible:4 test:2 helicity:1 press:1 immediately:3 unique:1 multiply:1 appearing:1 like:8 particle:2 identifying:1 follows:3 either:4 beverly:1 reasonably:1 parity:29 indications:1 because:2 some:1 suppl:1 choosing:1 brodsky:2 neglecting:4 b225:1 pinpoint:2 isoscalar:1 confirm:2 resonances:3 opposite:3 octet:7 b405:1 per:1 mesons:2 does:1 eliminate:1 assuming:1 prog:1 fragments:2 scheck:1 power:1 equivalent:2 zhitnitsky:1 agreement:2 broken:2 substituted:1 although:1 bs:15 analyses:1 obscured:2 emits:1 hadron:1 stage:1 rare:1 would:4 discussed:2 o:97 ariel:1 act:1 d65:1 automatically:1 kaons:1 equally:3 weizmann:2 ηc:4 ηn:6 into:12 60b:1 www:1 ηi:1 negative:3 pair:9 ηu:17 ηs:21 cent:1 operator:3 aubert:1 parities:1 hep:7 additional:4 measured:1 there:5 conservation:2 way:1 call:1 analyze:1 was:1 function:2 complete:1 form:14 enough:1 differences:7 but:6 neutral:3 sdg:1 line:1 penguin:24 fragmentation:1 made:3 pion:3 places:2 stanford:1 whether:1 mat:1 systematics:3 us:4 considered:1 below:3 spectroscopy:1 b433:1 ug:5 similar:1 called:1 detailed:3 ac:1 conserves:3 defined:4 abstract:1 contribute:2 denote:2 quantum:8 examine:5 violated:2 our:3 defines:1 functions:4 beyond:1 no:5 06ch11357:1 generally:1 detail:2 other:8 normal:7 department:2 ffag:1 theor:1 picture:2 elements:1 ubs:3 pseudoscalars:2 vertex:2 includes:2 suppression:4 observables:1 astronomy:1 sqg:1 sides:1 coupling:2 using:2 assume:3 normally:1 space:4 rule:7 bb:2 reports:1 mass:8 serious:2 having:5
|
0705.2558.txt |@word secondly:1 concept:2 consider:1 similarity:1 dynamic:1 results:1 existing:1 gf:3 scalar:3 proposition:1 follow:1 gr:1 relationships:1 particles:8 inverse:1 depend:2 calculate:2 graph:4 include:1 case:1 amplitudes:3 r13:2 advantage:1 orthogonal:1 very:6 rise:1 geometrical:2 electron:2 every:1 entries:1 difference:1 exact:1 tetrahedrons:3 positions:1 fewer:1 large:9 discrete:3 vector:3 small:10 relation:1 referred:1 freidel:1 force:3 sign:1 surrounding:1 zero:6 perspective:3 insertion:1 what:6 apparatus:5 sum:2 find:2 current:1 experiment:1 new:6 ever:1 method:9 contrast:1 3d:1 outgoing:2 chose:1 never:1 here:7 behaviour:1 abandon:2 objects:3 free:1 groups:7 others:1 represented:1 path:1 equations:8 change:2 essentials:1 box:2 great:1 incoming:2 vectors:7 allows:2 resulting:1 loop:6 usually:1 changes:1 involves:1 examining:1 formulated:2 useful:3 stray:1 scales:3 replace:3 unitary:1 propagators:1 use:5 graphs:4 would:6 sake:1 few:2 distortions:3 themselves:1 type:2 tell:2 diagrams:7 more:10 flat:5 clearly:1 becomes:3 yahoo:1 curvature:2 aware:1 appendix:2 labelled:4 particular:2 foundations:1 cases:1 must:7 high:1 integrating:1 ndimensional:1 det:1 theories:3 infinitesimal:2 values:1 concepts:1 following:5 making:1 root:2 example:8 proof:1 give:3 process:4 permutations:1 involve:1 effectively:2 minimum:2 numbers:1 want:1 sense:1 sharp:1 r23:2 axis:5 information:1 end:4 thing:2 rather:2 travel:1 how:4 instead:2 wave:1 product:2 may:4 dx4:1 collection:2 diagram:2 plane:1 lay:1 demonstrating:1 choice:3 fascinating:1 short:1 outline:1 sectors:5 light:1 summing:1 su:2 think:2 so:5 ultimate:1 fundamental:2 enter:1 order:1 talk:1 produces:2 over:7 move:2 paper:2 including:1 signs:3 argued:1 its:3 tending:1 group:10 symmetry:1 chosen:2 interesting:1 relativity:5 coordinates:4 edge:1 attraction:1 microscopic:1 choose:3 mail:1 hidden:2 therefor:2 defining:1 supersymmetry:1 them:2 thereby:3 graviton:5 resolve:1 effects:3 they:2 arriving:1 now:9 continuum:1 simplices:11 invariants:5 university:2 guage:1 alembert:1 lorenz:6 inequality:2 each:3 entirely:1 constraints:15 r12:2 spinor:1 square:4 approximates:2 quantum:34 laboratory:4 summary:1 really:1 emerges:1 shown:4 space:56 since:5 squared:2 looking:1 replacing:2 suggesting:1 formula:2 correct:2 after:1 theory:24 interactions:1 diagonal:1 possibility:1 approaches:3 complicated:1 imagine:1 wanted:1 interaction:2 r2:1 created:1 geometry:8 starts:1 could:1 similarly:1 turn:1 hence:2 v4:1 assign:1 exotic:1 already:1 probability:3 variables:2 number:5 thereof:2 intuitively:2 done:1 approximately:1 another:3 angular:1 given:8 necessarily:1 reference:1 thirdly:1 introduction:1 leading:1 system:11 least:1 their:1 types:1 calculations:2 essays:1 fuzziness:6 final:1 gives:1 shifted:1 shell:2 stars:1 simplical:1 part:1 x2:1 x3:1 x0:1 x1:1 than:3 positively:1 distance:16 determines:1 penrose:1 see:2 matter:2 states:1 future:1 yang:1 amplitude:1 minus:2 fashion:1 rab:2 rewrite:3 modern:1 argument:1 say:1 manner:3 need:3 seen:1 null:2 any:8 lie:1 angle:1 built:1 mills:1 gravity:19 note:2 internal:2 take:1 forces:1 green:3 unconstrained:1 specifying:1 calculus:5 formulas:1 begin:1 towards:2 altered:1 allow:1 though:1 measures:1 clearer:1 most:4 involving:2 importantly:1 formulism:1 phase:1 why:2 eigenfunctions:1 don:1 consequences:1 vertices:7 feynman:13 points:21 gµν:1 superstring:1 usual:3 physics:7 fact:3 sector:5 incorporate:2 recipe:1 ending:1 gauge:11 manifold:1 baratin:1 imagined:2 networks:1 specifically:1 based:5 knowledge:1 enough:1 topological:1 should:3 only:11 going:4 factor:3 integrate:2 menger:4 do:2 triangle:2 means:4 familiar:1 simplest:1 somehow:1 cannot:2 dy:1 symmetries:3 gen:1 4dimensional:1 consist:1 arxiv:2 bird:1 qc:1 through:1 fixed:3 view:1 ignored:1 set:3 exists:1 frame:1 tended:1 relative:5 finiteness:1 bare:1 discussions:1 phases:1 tensor:1 macroscopic:3 away:2 uα:1 uβ:1 written:2 rij2:1 between:20 invariant:13 geometric:4 approach:5 law:1 knowing:3 terms:7 creating:2 importance:1 attention:1 however:4 vanishing:1 concentrate:2 answers:2 come:1 alters:1 cos:2 2n:1 cayley:4 many:3 taking:1 uncertainty:3 propagation:1 connection:4 colloquium:1 mean:2 co:1 point:8 simple:4 lagrangians:1 dimensional:37 directions:1 simply:3 stretched:1 church:1 polynomial:2 respect:3 ensures:2 described:1 due:1 been:2 quickly:1 ph:1 define:2 direction:2 contribute:1 corresponding:1 quantities:5 formed:2 subspace:3 essentially:2 observe:1 angles:4 derivative:3 convergent:2 spin:5 manifolds:2 applied:1 abandoned:1 reciprocal:6 tetrahedron:1 value:4 will:13 euclidean:4 replaced:1 shall:5 situation:1 conformal:1 procedure:2 larger:1 coupled:1 metric:3 thus:7 non:1 systems:2 itself:1 rij:10 different:7 april:2 things:4 make:2 formulations:1 same:2 tells:1 unity:1 complex:1 units:1 finite:2 events:4 higher:1 breakdown:1 independent:4 infinity:1 forced:1 foam:3 effect:1 uses:1 v6:5 infinite:4 invariance:1 mentioning:1 off:3 spacetime:2 polarisation:9 know:1 obviously:1 thought:1 without:3 spherical:2 coordinate:17 position:2 arising:1 dimension:6 left:2 r01:4 distances:25 r03:4 r02:4 r05:2 r04:2 just:5 less:2 being:3 able:1 rest:1 questions:4 world:1 paul:1 scattering:2 yet:2 previous:1 adding:2 except:1 exclusively:1 add:3 valid:1 easy:1 r0n:7 momentum:3 gave:1 real:3 timelike:1 rnm:2 showing:2 makes:1 background:2 vacuum:1 press:2 using:2 r0m:5 apart:1 insert:1 like:3 particle:8 xsu:1 alternatively:1 renormalizable:1 ignore:1 either:1 integrals:4 always:1 become:1 tower:1 polarisations:1 summarise:1 shed:1 because:7 often:1 deal:1 people:1 some:5 searching:1 examples:1 laurent:1 2d:1 scale:5 describing:1 dimensions:4 unavoidable:1 planck:1 does:1 assuming:1 demonstrated:1 refer:1 inserting:4 object:1 equivalent:4 bi:1 notably:1 step:1 simplex:10 although:2 substitution:1 imaginary:1 properties:2 simpler:1 about:2 actual:1 anything:1 constraint:4 o:2 essential:1 probabilities:1 obeys:1 introduced:1 cambridge:2 into:9 down:2 right:1 references:1 determine:2 einstein:1 operator:2 proportional:2 additional:1 there:10 question:1 approximate:1 long:1 start:2 way:4 rcd:2 propagator:7 function:15 complete:2 form:2 becoming:1 independently:1 but:5 idea:1 volume:12 delta:8 r52:1 r53:1 line:2 r51:1 veltman:1 r54:1 happening:1 made:9 flavour:2 intuitive:1 whether:1 minkowski:5 gravitational:7 attached:1 up:3 us:7 converted:2 limit:6 uk:1 fluctuations:1 distribution:2 similar:7 called:2 mechanics:1 introducing:1 certain:2 abstract:1 describe:5 determinant:3 general:5 exist:1 vn:1 our:15 triangles:1 physical:2 again:1 functions:8 beyond:1 no:4 when:3 virtual:1 rewriting:1 field:14 other:9 normal:2 you:1 out:2 conclusion:1 picture:5 photon:1 ultimately:1 polynomials:2 important:2 variable:2 complications:1 lane:1 breaks:2 longer:3 assume:1 factors:2 volumes:3 time:33 4d:1 starting:1 having:1 once:2
|
0705.2559.txt |@word limited:3 extrapolated:1 magnetic:1 desirable:1 four:1 entropy:4 parameterization:5 increase:3 calculate:13 quarkonium:69 under:2 dissolution:3 divergent:3 ǫc:4 summarized:1 supports:2 solution:6 miyamura:1 vector:24 ree:3 jhep:2 wronskian:1 consistent:1 direct:2 approximation:8 likely:2 correlator:24 even:11 errors:4 incompatible:1 dr2:2 above:29 new:3 increasing:2 consisting:1 coefficient:2 behavior:12 mem:7 here:9 reported:3 mev:5 quark:60 obtained:14 study:10 completely:1 changes:2 appropriately:1 explained:1 replace:1 visible:2 quarkantiquark:2 propagators:4 linearly:2 derivatives:6 would:6 negative:3 discrepancies:2 therefore:20 m2:2 survive:4 e2:2 type:2 until:2 separated:2 successful:2 odinger:4 aware:1 excellent:1 must:2 ma:1 mc:7 mb:3 work:4 theories:1 mv:1 mq:3 temperatures:38 renormalization:4 indicated:1 give:9 relativistic:15 organized:1 absolute:1 g1l:7 hoc:2 provide:4 satz:6 feature:2 how:3 description:5 beauty:2 replacing:1 ladder:2 earlier:1 modest:1 lat:30 meaningful:2 constants:2 attempt:1 effective:5 davies:1 ultimate:1 correlation:33 order:11 g11:2 hashimoto:1 interpretation:1 over:2 satisfies:2 imb:1 imd:2 fit:3 writing:1 better:7 production:4 harmonics:1 maximal:1 eventually:1 them:1 affected:1 bottomonia:4 break:1 effects:10 they:4 gev2:2 reasonably:1 opke:1 reasonable:7 each:1 went:1 interpolation:2 mean:1 independent:8 resum:1 used:29 laboratory:2 zahed:1 rt:2 rr:2 crucial:1 particles:1 mδ:1 reader:1 rl:4 rn:1 ri:1 linear:2 1s:19 interquark:2 standard:1 tial:1 formation:1 estimate:4 r0:12 r1:6 r2:6 created:1 unscreened:1 corrections:6 onto:2 already:3 features:1 channels:12 nonperturbative:1 another:1 rewritten:1 top:11 melnikov:1 listed:1 centered:1 serve:1 somewhat:4 distance:23 rate:1 correlators:54 perturbative:15 bridge:1 mind:1 spectrum:2 seen:3 relatively:1 forces:3 circles:2 though:1 tye:1 denominator:1 regular:4 phase:6 glow:2 doi:1 observation:4 calculated:49 katayama:1 principle:1 agnes:1 incorporate:1 iǫ:27 iida:1 gauge:10 solutions:8 d4:4 d2:2 d3:7 just:1 explain:2 screening:16 relator:1 do:10 de:4 despite:3 reconstruct:1 dr:2 g0l:9 fields:2 acknowledgments:1 twice:3 tation:1 reference:2 testing:1 observed:5 depends:3 result:8 techniques:1 away:1 µr:5 simplest:1 approach:10 terms:9 extend:3 nature:1 weak:4 however:18 extent:3 suggested:1 irregular:1 against:1 contribution:21 ansatz:3 2nc:4 k2:1 nomura:1 radiative:3 three:3 been:44 much:2 basic:1 expected:5 deeper:1 25f:1 gnr:10 exception:3 tanh:1 resummation:1 aip:1 aim:1 euclidean:20 near:5 melted:1 procedure:1 phenomenological:3 λqcd:1 iv:14 ii:15 ik:2 im:7 conf:1 realizing:1 ep2:2 expect:6 complex:1 several:5 survival:3 fairly:3 peaks:5 i1:2 numerical:21 hand:2 potentials:10 programs:1 academic:1 simulated:1 quantitative:2 quoted:2 scattering:1 previous:11 adding:2 infinitely:1 cornell:13 easy:1 bnl:3 plasma:5 jahn:1 rescaled:1 breaks:2 disagreement:1 possible:4 destroy:1 judge:1 melting:1 contradict:1 performing:2 steps:1 arbitrary:1 deconfined:5 bottom:20 soto:3 quarks:12 comments:1 fermidirac:1 cors:1 properties:5 numerator:1 o:13 ensure:1 slightly:1 considerations:1 statements:3 presence:1 obtaining:2 bound:17 down:4 bielefeld:1 methods:1 unambiguous:1 support:1 initial:2 strassler:2 width:11 tsumura:1 physicists:1 fraction:1 resulted:1 was:5 lowest:2 medium:7 form:19 attempted:1 differences:3 fore:1 true:1 maximum:1 fermi:1 stages:1 fulfills:1 rubinstein:1 exist:1 simulations:2 triangles:3 physical:5 discriminate:1 no:13 nc:8 when:4 nf:3 skullerud:1 interested:2 role:2 nr:3 nt:1 models:4 solana:2 thacker:1 transporter:1 regime:2 longer:3 coulomb:6 assume:5 interval:2 together:5 χi:3 time:10 serious:1 concept:1 skip:1 focus:1 leads:1 grateful:1 certainly:1 depend:8 crater:1 finally:3 monotonically:1 analogous:1 string:3 choice:16 exact:3 presented:3 turns:1 upper:4 prediction:2 cosh:1 reinders:1 spectral:124 appear:1 melt:1 current:4 axial:14 goes:1 filled:3 asakawa:1 understanding:2 address:1 appears:2 change:8 shift:1 studied:6 usually:1 resonance:6 studies:7 extra:2 f2:3 gluon:11 predictions:1 theoretical:1 diagrams:2 smeared:1 introducing:2 validity:2 appendix:16 cases:1 given:22 modified:5 labeled:2 values:18 following:7 making:1 arrive:1 figure:4 expanding:1 smirnov:1 necco:1 performed:2 occur:1 s2:1 s1:5 s0:9 write:6 till:1 pure:1 plus:3 parameter:11 may:5 max:1 deviates:1 4tc:2 data:52 stress:1 dynamical:2 su:1 so:4 sc:3 fireball:1 sf:6 talk:1 typical:1 subsections:1 indeed:1 pointed:1 displayed:1 years:1 course:2 statistical:5 omitting:1 argued:1 still:3 derive:1 thank:2 interesting:3 vicinity:1 decreases:2 forms:2 ours:1 main:2 matches:1 processes:1 introduce:2 now:3 discuss:10 matched:5 term:5 wong:2 square:1 significantly:5 happen:1 eq:23 ep:4 shown:26 space:3 furthermore:5 2m2c:1 looking:1 collisions:4 contained:1 formula:1 squares:5 correct:1 shows:3 datta:4 theory:13 divergence:3 possibility:2 quite:6 complicated:4 besides:1 care:1 recon:1 widths:1 transition:3 turn:1 place:1 first:19 origin:5 simplifies:1 kernel:3 waves:2 2gev:4 simplified:2 directly:2 matsufuru:2 carry:2 impossible:1 open:4 size:2 1p:4 little:2 necessarily:5 indicate:1 oversimplified:1 structures:2 speaking:1 gives:6 way:4 braun:1 artifact:1 tempera:1 than:25 specify:2 third:2 d00:1 require:2 future:1 were:8 decompose:1 addressing:1 interpolations:1 correction:1 turned:1 czarnecki:1 any:5 pineda:3 note:7 ideal:1 potential:108 take:8 objective:1 green:19 channel:33 multiple:1 enter:2 insets:4 pair:10 baryons:1 analytically:1 especially:1 considered:2 g10:1 quantity:3 precise:1 show:30 threshold:18 fifth:1 ground:6 ratio:28 state:28 only:21 explicitly:2 black:1 gev:39 get:4 rept:3 expectation:1 2mc:4 cannot:4 2md:1 summary:1 predicted:1 discussing:1 reveals:1 up:4 namely:4 αs:4 ways:2 enough:4 between:35 reading:1 across:1 multiplied:1 analyzed:5 jetp:2 suppressed:1 σi:1 kogut:1 many:6 region:12 according:3 contract:1 propagation:3 allton:1 σr:2 expression:3 semiquantitatively:1 color:6 maintained:2 moreover:1 pseudoscalar:31 wetzorke:2 tuning:2 capable:1 absence:3 combined:1 fig:46 colors:1 dramatic:1 careful:1 those:3 case:24 situation:2 discrepancy:2 σf:3 middle:1 motivated:1 different:31 edwin:1 formulations:2 same:5 constructed:1 breakdown:1 investigated:1 running:1 modes:2 framework:2 deconfinement:10 schroedinger:1 solve:4 coordinate:2 model:43 dimension:1 ishii:1 rest:2 upton:2 seems:2 except:2 lett:10 heavier:1 momentum:2 real:2 2t:5 around:2 read:2 early:2 romatschke:1 confined:2 using:36 riken:2 mod:2 fully:1 reduced:2 laermann:3 specified:1 sommer:3 matching:2 nonzero:3 dissociated:2 calculating:1 footing:1 extensively:1 provides:3 τmax:1 refer:1 process:1 power:2 ratios:4 2m:10 comparison:7 central:1 discussed:26 outlook:1 ηc:1 ηb:2 inclusion:1 numerically:1 determine:5 operator:3 hep:49 oktay:1 area:1 removing:1 strictly:1 there:12 low:2 series:1 survives:2 laine:3 dψ:1 ωq:1 agree:5 regimes:2 detailed:2 ac:2 ad:2 ah:4 describe:3 general:4 loops:4 aw:1 ax:2 again:2 field:5 valid:2 spatial:3 massless:1 deviation:1 separate:1 vertex:9 important:7 peak:6 insertions:1 poten:1 curve:1 mimic:2 mass:7 consider:8 caused:1 lack:1 αr1:1 scalar:45 generalize:1 expressions:1 causes:1 gromes:1 tc:9 straightforward:2 very:15 worst:1 fall:1 charmonia:3 large:22 detected:1 small:15 past:1 zero:32 enhancement:8 further:6 what:2 section:19 version:1 method:5 contrast:1 quenched:5 full:2 free:45 strong:5 equations:2 matsui:2 marginal:1 kaczmarek:7 contains:2 nucl:8 qcd:25 taken:4 more:13 quigg:1 operators:2 particular:7 known:3 erratum:1 recall:1 equation:17 dec:1 f0:2 f1:21 compare:6 states:52 contradicts:1 numbers:2 sense:1 mehr:1 information:6 rather:3 breaking:2 tried:1 cαs:1 coming:1 fi:1 horizontal:1 fm:38 short:15 spectra:2 polyakov:1 clarifications:1 developed:3 thermal:6 paper:8 through:1 nrqcd:4 its:8 digal:3 rapidly:2 energies:12 solving:2 quarkonia:10 good:5 peskin:2 yl:1 number:5 fadin:1 chromodynamics:1 gets:1 kharzeev:2 2s:4 always:1 level:1 found:10 repeating:1 heavy:25 5fm:8 energy:57 hard:3 mclerran:2 idea:1 extended:6 connect:1 quantum:3 beyond:1 dominates:1 since:16 research:2 dominated:1 print:1 blaschke:2 issue:1 occurs:3 brambilla:3 reason:5 ask:1 rmed:53 definition:1 pairs:4 retained:1 ion:4 exponentially:1 consequence:2 eqs:3 relate:1 reflected:1 antiquark:28 done:3 construct:2 miss:1 5tc:38 perturbation:6 temperature:98 introduction:1 leading:8 least:2 assumption:1 calculations:49 98ch10886:1 too:2 shifted:2 statement:1 relationship:1 sizable:2 part:13 authors:2 schr:4 diffusion:1 kind:1 cyclic:3 determined:7 contrary:2 grec:40 toward:1 wilson:6 lim:1 self:1 onset:1 extracted:2 k0:1 analogy:1 electric:1 2tc:28 singlet:18 most:7 charm:11 significant:5 measured:1 value:21 deviations:1 dissolves:2 clear:3 coincides:1 dissolved:7 exp:9 velocity:3 physics:3 lying:1 relation:2 shares:1 fine:2 find:10 parameters:13 less:7 khoze:1 subsection:8 factor:3 dteiωt:1 ruiz:1 his:1 dependent:3 valuable:1 combinations:1 lattices:6 continuum:21 karsch:10 arxiv:48 common:1 bars:2 set:25 unpublished:2 tred:2 see:32 individual:3 close:9 degree:1 smallest:1 conditions:1 available:1 recently:6 cabrera:1 distinguish:1 both:3 prescription:1 sensitive:3 retarded:2 sinh:1 nonrelativistic:43 simple:2 lucha:1 corresponds:1 ps:5 ensures:1 described:2 lattice:125 create:1 due:18 screened:10 coarse:1 anisotropic:8 ph:24 treatment:3 dilepton:1 gas:1 determination:1 systematic:1 1gev:8 p2:6 ǫb:2 p0:11 p1:2 look:1 exponential:2 pacs:2 solid:2 reliable:2 evaluated:1 pace:3 while:13 reliably:1 error:3 loop:4 sizeable:1 binding:10 reads:1 dg1:1 currents:1 modification:2 higher:5 literature:3 uses:1 purpose:1 recent:6 lower:5 task:1 analysis:36 distances:12 glueball:2 shape:1 questions:1 dpp2:2 dissociation:6 conclusions:4 internal:14 zantow:5 excited:2 phenomenology:1 showing:1 appendices:1 modifications:1 systematically:1 follows:3 signal:1 separately:1 essential:1 mathematical:1 often:1 structed:1 some:12 understood:3 teaney:1 scale:6 describing:3 resonances:4 integration:2 behave:1 eliminate:1 proc:4 inserting:1 object:1 agreement:19 step:1 kinoshita:3 idr:1 range:3 ylm:1 into:8 within:5 integral:6 aarts:3 suppl:3 martinez:1 appropriate:2 proportional:5 smoothly:3 u1:2 long:10 petreczky:22 sections:5 propagator:1 considerably:3 delta:1 gottfried:3 us:3 fluctuations:1 similar:8 called:1 constant:7 defined:8 char:1 defines:1 puzzling:1 beraudo:3 department:2 deviate:1 accidental:1 meaning:1 allowing:1 suppression:1 brookhaven:2 vairo:2 structure:4 lane:3 correlated:2 implies:3 resolving:1 far:1 evidence:1 illustrates:1 philipsen:2 0fm:4 results:34 existing:2 gl:4 contributions:2 issues:1 seemed:1 ac02:1 include:1 g5:3 g4:3 g3:3 g2:3 g1:5 g0:2 wave:14 jakov:2 resonant:1 timely:1 entire:1 attempts:2 shuryak:1 smaller:14 imply:4 compensates:1 expressed:1 1fm:4 3m:1 3b:1 body:4 chose:1 ibid:1 exchange:3 respectively:7 spacing:2 separation:3 others:1 casalderrey:1 technical:2 larger:14 contradiction:1 leaving:1 resulting:3 limr:5 scaled:1 decrease:3 summation:1 meson:10 use:16 usa:2 next:4 few:1 gert:1 becomes:12 visibility:1 eichten:4 χsi:1 iii:10 reconstructed:3 account:5 obvious:1 drops:1 dissolve:1 calculation:6 rapp:1 high:14 fortunato:1 holds:2 regions:2 instead:6 tension:1 singular:3 ambiguous:1 realized:1 light:2 lines:1 correspond:4 subsequently:1 discussion:5 move:1 symbols:2 including:1 mentioned:3 decay:1 ln:2 temporal:1 glatt:2 choose:2 derivative:8 defining:1 weber:1 eur:5 yazaki:1 dirac:1 identified:1 sufficiently:5 magnitude:1 mode:6 lorentzian:1 homogeneous:4 bump:3 decays:1 static:14 bottomonium:56 separating:1 our:39 out:7 rev:33 rec:12 ref:30 integrated:5 m2c:2 interactions:2 approaches:2 york:1 interaction:4 cais:1 could:6 3tc:2 keep:1 isotropic:10 assumed:2 yudichev:1 salcedo:1 manuscript:1 precisely:2 table:13 condensate:1 their:9 intermediate:6 acquire:1 remember:1 submitted:1 amplitude:1 providing:1 distinguished:1 separations:2 unchanged:2 need:2 clearly:4 min:2 studying:1 eter:1 able:2 accuracy:3 collaboration:2 who:1 petrov:3 σre:1 class:3 subtracted:3 consequences:1 χc:1 schulz:1 constrain:1 fact:12 emerging:1 supported:1 tures:1 trivial:1 agrees:3 subtracting:1 based:6 should:11 local:1 means:1 familiar:1 ones:2 compute:2 procedures:2 evolution:1 pnrqcd:1 expansions:1 contain:2 fixed:3 hadronization:2 constructing:1 exists:2 national:2 enhanced:4 7gev:1 interacting:1 pattern:1 written:3 identification:1 invariant:2 comparable:1 reproduced:1 interpolate:3 reproduces:1 taking:2 equal:7 chosen:5 masses:19 otherwise:1 strongly:2 umeda:3 respect:3 cp:1 appeared:1 second:4 addition:2 yan:3 slowly:2 treat:1 peardon:1 corresponding:28 sorensen:1 χc1:1 χc0:1 improved:2 present:10 lepage:1 choices:5 will:24 arriola:1 rbc:1 vc:3 ve:1 almost:5 vi:5 refs:8 thus:16 suganuma:1 megias:1 divergences:2 molinari:3 unity:5 largest:1 finite:28 difficult:3 infinity:1 bali:1 effect:9 v0:10 v1:4 off:1 center:2 well:21 s20:3 sets:7 position:2 con:1 soviet:1 spherical:1 ny:2 buchmuller:1 obtain:5 alberico:3 momenta:1 arfken:1 point:3 noninteracting:2 reasons:1 match:1 resolved:1 increased:5 fate:1 increases:1 five:2 insert:1 like:6 success:1 susceptibilities:3 works:2 because:9 sequence:1 okamoto:1 proper:1 lead:7 broad:1 does:18 assuming:1 limitations:1 expansion:1 although:3 imaginary:5 about:17 carried:2 extension:1 introduces:1 dependence:26 carries:1 introduced:1 discretization:1 previously:1 tiny:1 additional:1 artifacts:2 beneke:1 ensured:1 function:113 but:7 repeated:2 construction:2 ha:1 made:8 coefficients:4 smooth:1 below:5 limit:17 signer:1 demonstrate:1 problem:5 3mc:1 display:1 charmonium:56 int:1 universal:1 contribute:3 hatsuda:1 χb0:1 χb1:1 approximated:1 functions:75 compared:9 detail:3 other:9 details:12 conclusion:2 repeat:1 5gev:1 coupling:3 4t:1 factors:4 inset:2 8tc:1 understand:4
|
0705.2560.txt |@word neighbors:6 secondly:1 concept:1 partial:1 consider:3 similarity:1 global:2 results:6 leads:2 ge:1 consists:1 follow:4 causes:1 poorly:1 whose:1 voter:30 depend:2 producing:1 languages:1 violation:1 tail:1 does:6 lambiotte:1 those:1 under:3 stochastic:1 nodes:17 indicating:2 ausloos:1 case:1 updated:2 supported:1 very:2 rise:2 hinrichsen:1 every:2 fall:1 difference:2 exact:1 ecol:1 four:1 europhys:2 homogenize:1 level:3 turns:1 prolonged:1 cascading:1 girvan:3 large:1 excellence:1 hyv:2 small:2 3b:1 configurations:2 averaged:1 slower:1 disordered:2 disciplines:1 farkas:1 balears:1 zero:4 cost:2 perspective:1 qualitatively:1 dynamics:42 linear:1 appear:2 selected:3 contributed:1 stauffer:1 networks:48 holme:1 version:2 above:1 new:6 3a:2 discern:1 method:1 coefficient:1 interfacial:4 degree:11 mechanisms:2 never:1 here:5 understanding:2 dimensionality:5 groups:2 address:3 σab:1 along:1 implicit:1 change:2 extreme:1 box:1 search:2 study:2 cohesive:2 finnish:1 aki:2 resulting:2 social:12 domains:16 miguel:4 studies:1 options:7 sci:3 followed:1 figure:2 scales:6 explained:2 org:1 extinction:1 asi:1 unit:1 wang:1 plot:2 use:4 saram:3 usa:3 probabilities:3 positive:1 contains:1 next:1 few:2 live:1 program:1 call:2 therefore:2 taken:4 conservation:1 themselves:1 stage:3 type:7 until:1 reflects:2 more:2 mec:1 abrams:2 becomes:1 stable:1 semilogarithmic:1 curvature:3 transient:1 particular:3 known:1 cases:3 hold:1 iii:2 analogous:1 must:1 high:7 amaral:2 evolution:6 plateaus:2 science:2 der:1 work:2 modified:1 london:1 ıaz:1 values:2 following:2 lazer:1 drops:2 averages:4 example:1 numbers:1 claim:1 finland:2 bogu:1 links:5 give:3 process:8 introduces:1 palla:1 share:1 agent:2 states:36 indicates:7 imitation:1 allowed:1 occur:1 normalize:1 rather:2 discussion:2 breaking:1 stayed:1 located:1 nontrivial:1 lozano:1 attachment:3 instead:1 parameter:1 ensemble:2 pattison:1 preferably:1 kert:2 may:3 thermodynamic:1 earlier:2 collection:1 reflect:1 produce:3 designed:1 fi:1 law:10 grow:3 engineering:1 natural:1 dynamical:13 third:2 helsinki:1 assortativity:2 lines:1 correspond:2 egu:5 so:5 allow:1 definitions:1 looking:1 order:4 typical:1 restriction:1 over:9 govern:1 displayed:1 soc:1 symbols:5 paper:2 through:3 statistical:3 existence:1 kinetic:2 still:2 its:3 ninit:3 rapidly:1 symmetry:1 decay:7 chosen:5 decreases:3 fruitful:1 forms:2 detected:1 coarsening:11 microscopic:2 systems:3 main:1 might:2 alter:1 eventually:1 non:2 evol:1 halt:1 combination:1 socially:1 runs:14 slight:1 p10:1 tails:2 effects:1 they:3 communities:11 discuss:1 structural:2 guilera:1 february:1 several:6 ıluz:4 university:1 ebel:1 2d:1 magnitude:1 each:13 found:11 characterized:1 mean:9 homogeneous:1 el:1 domain:1 financial:2 significantly:1 guimer:1 mesoscopic:8 snapshots:2 decays:1 connect:2 measure:1 loops:1 our:5 beyond:1 eq:1 es:2 out:2 shown:5 dominates:1 network:50 rev:11 denotes:1 increase:2 fellowship:1 acting:1 conclusions:1 scaling:1 get:1 cause:1 occurs:3 shows:4 foundation:1 after:2 theory:1 interactions:3 sparked:1 ısica:1 given:2 free:1 standard:1 clique:2 region:1 detecting:1 barab:2 generate:1 interaction:3 language:2 anchez:1 substantiate:1 transition:1 castell:3 times:2 ordering:6 levels:2 place:3 exponentially:1 loreto:1 probab:1 stuck:1 first:3 initial:15 features:1 probability:3 number:5 randomized:16 smaller:1 disappearing:1 reached:6 kaski:2 electronic:1 size:17 interchange:1 differ:2 temperature:2 their:4 introduction:1 leading:4 eqs:3 structured:1 illes:1 system:12 adopted:2 indicate:1 intermediate:2 types:2 realization:3 white:1 structures:3 ranging:1 redner:1 gives:3 option:7 trapped:15 centered:1 academy:2 eliminates:1 hut:2 part:1 authors:1 norms:1 than:4 preferential:1 observed:4 effective:2 double:1 see:4 modelled:1 project:1 matter:1 determined:1 contrary:1 were:1 rewired:1 behaviors:2 san:5 fluctuation:2 ann:1 randomly:5 seed:2 further:1 seem:1 any:4 relatively:1 lie:1 depending:3 latter:2 responsible:1 mechanism:1 contact:3 note:3 concerns:1 take:1 finding:2 play:1 added:1 reach:6 mimics:1 regular:4 connected:2 significant:1 circled:1 future:1 class:11 liggett:1 unidad:1 acknowledges:1 considered:7 average:15 vertices:1 physica:3 metastability:4 usual:1 physics:2 fact:2 gain:1 emerging:1 particularly:2 phenomenon:1 show:3 absorbing:9 text:1 random:9 sage:1 ais:1 carefully:1 uniform:2 find:5 boundaries:3 based:1 knowledge:1 parameters:1 much:1 topological:4 should:1 going:1 black:3 acknowledge:1 local:4 slows:1 dominant:1 means:1 de:3 onen:2 methods:1 cannot:2 competing:2 lattices:1 respectively:1 secondary:4 processes:4 invaded:1 indicated:1 approach:1 arxiv:2 summary:2 onnela:2 multiplicity:1 kalle:1 scott:1 emy:1 view:1 reference:1 lifetimes:4 sensitivity:1 correlations:4 grey:1 connections:1 depends:3 individual:2 result:4 stanley:1 incorporating:1 closer:1 interacting:1 ways:1 tend:2 symmetric:1 state:29 classes:2 between:12 ations:1 before:1 conditions:5 available:1 αt:1 realizations:26 terms:1 nature:5 interfaces:3 however:2 acknowledgements:1 nsec:3 csic:1 interface:19 configuration:1 come:2 topology:1 both:7 essentially:1 last:1 σb:4 σa:4 infinitely:1 according:2 barrat:1 display:1 sensitive:2 les:1 iv:1 dated:1 context:3 variance:1 whole:1 boyer:1 con:1 among:1 cecconi:1 cn:1 conclude:1 simple:1 seems:2 others:3 period:1 community:23 2nd:1 dimensional:3 uib:3 agents:11 sequences:1 associated:7 throughout:1 krapivsky:1 simpler:1 considering:2 better:1 described:1 second:3 interdisciplinar:1 locally:1 due:3 been:6 appears:1 pb:2 homogenous:1 pa:2 logarithmic:1 interest:1 expected:1 ph:2 prototype:1 empty:3 fig:19 obtained:1 generating:1 lived:5 corresponding:1 deeper:1 sufficient:1 formed:1 observe:5 representative:2 spain:3 applied:1 look:1 exponential:5 pacs:1 solid:3 wellknown:1 originate:1 appearance:1 straighten:1 value:5 will:2 while:7 behavior:7 many:2 asynchronous:1 taking:2 exponent:1 detailed:2 studied:2 almost:1 characteristics:3 simulations:2 thus:1 them:1 encountered:1 ii:2 characterize:1 arenas:2 technology:1 situ:1 capture:1 different:27 parisi:1 distributions:4 coexisting:1 lett:4 same:12 linked:2 pab:2 complex:6 geographical:1 vespignani:1 proved:1 finite:11 castellano:3 mallorca:1 development:1 independent:1 used:2 http:1 percolation:1 pick:2 effect:2 counterparts:2 hand:2 driven:5 action:1 edges:3 stripe:1 infinite:1 changing:1 newman:3 lower:1 mech:1 kept:1 traps:6 changes:1 variety:1 well:4 analysis:1 without:4 dornic:1 model:57 left:6 construct:1 maslov:1 generally:2 proximity:1 obtain:1 rest:1 underlying:1 identify:1 human:1 world:1 spatially:1 yet:1 previous:2 davidsen:1 preprint:1 density:16 percent:2 had:1 lattice:1 internal:1 plateau:6 versa:1 natl:3 increased:1 rules:3 satorras:2 term:1 fast:1 possibly:2 increases:1 lce:1 using:3 emergence:1 gr:1 like:3 excluding:4 sizes:5 follows:2 collective:1 manifest:1 consensus:16 steps:2 either:2 sparse:1 rarely:2 coexistent:1 qualitative:2 towards:1 deviation:1 www:1 right:7 often:2 sequence:1 tells:1 creation:1 phenomena:1 stat:1 competition:5 trends:1 growth:5 examples:1 moreover:1 strogatz:2 intact:1 holley:1 specific:1 sociology:1 dense:1 lead:1 contacts:8 broad:3 novelty:1 esz:2 overlap:8 quickly:1 critical:1 linearly:1 proc:3 biology:1 noise:3 power:10 reaching:2 equivalent:3 agreement:2 step:1 wong:1 although:1 plots:1 stay:1 properties:2 takes:2 comparison:1 about:1 sneppen:1 coexist:1 disorder:1 anomalous:3 dependence:1 o:10 szab:1 neighbor:1 steadily:1 mixed:1 shared:2 introduced:1 sensitively:1 equally:1 computational:1 letters:1 orders:1 unbounded:1 into:2 within:2 obtaining:1 down:1 acad:3 reducing:1 parametrizations:1 clustering:3 yrj:1 statistics:1 additional:1 jin:1 topologies:1 support:3 there:6 question:2 long:7 start:2 describes:1 handbook:1 low:3 fraction:10 ed:1 miramontes:1 was:1 naturally:3 form:1 metastable:32 some:5 differences:2 pastor:2 but:7 hierarchical:1 link:1 alive:6 larger:1 inverse:1 made:1 vicsek:1 versions:1 characteristic:8 robustness:1 us:2 below:2 un:1 limit:1 fluctuations:1 distribution:12 stages:1 similar:1 called:2 mechanics:1 ab:42 ordered:1 6a:2 defined:3 describe:2 influence:1 6b:1 drive:1 single:4 exist:3 together:1 chat:1 laboratory:1 lifetime:17 prevail:1 no:1 na:1 when:4 holyst:1 barth:1 other:5 role:3 details:2 spatial:5 node:8 originates:1 enyi:1 models:13 center:1 vertex:1 update:4 includes:3 treelike:1 scale:3 palma:1 ising:2 additionally:1 robins:1 gets:1 structure:30 occurrence:1 correlated:1 implies:1 algorithm:3 vice:1 assume:1 typically:2 scala:1 rule:1 inset:5 time:34 n0:2 laws:1 starting:3 original:4 bornholdt:1 external:1
|
0705.2561.txt |@word partial:6 consider:6 ali:4 four:1 tripartite:37 generalize:1 gb:9 ga:13 edu:1 primes:2 issues:1 whose:6 graph:47 tr:1 rf:1 ws1:1 tk:2 th:4 under:1 γc:3 γb:2 γa:4 resources:1 ta:3 ρtb:1 g2:28 g1:33 ρta:1 very:1 corollary:2 every:1 mpq:23 matrices:21 condition:14 wsf:1 entropy:1 rk:2 deutsch:1 αi1:1 αi2:1 index:2 section:2 uniform:1 annals:2 above:7 capital:1 mq:3 satisfy:3 mef:3 degree:16 respectively:13 l1:2 teleportation:1 here:3 china:1 sina:1 gγ1:3 remark:1 gγ2:3 studied:2 products:1 permutation:1 makes:1 classification:1 vie:1 vis:1 unit:1 use:1 distinct:1 positive:5 negative:2 hilbert:3 partite:1 h1k:1 therefore:2 taken:2 vj:34 more:1 composite:1 adjacency:2 testified:1 vi2:1 vi1:2 normalized:3 known:1 must:7 springer:1 isomorphism:1 recall:7 equation:2 labeled:1 dg1:4 obvious:3 mp:3 cam:10 concepts:1 following:4 example:2 def:3 proof:8 nearest:9 boschi:1 wang:2 bennett:2 states:11 dm:1 g3:23 unordered:1 verlag:1 information:1 s1:1 criterion:14 adjacent:3 brassard:1 product:8 may:2 different:1 unentangled:1 bouwmeester:1 transposed:4 whenever:4 lemmas:1 lines:1 st:18 sk:2 so:9 hassan:4 sf:1 talk:1 operations:1 concurrence:2 paper:2 london:2 still:2 roots:3 before:1 perfect:1 conjunction:1 systems:2 mail:1 non:1 pure:7 zhen:1 they:1 now:3 discuss:1 2t:2 eigenvalue:1 αcp:2 equality:2 2r:2 2s:2 university:1 identified:1 orthonormal:10 2f:5 l2:2 l3:2 wr1:1 references:1 mean:1 mansour:1 related:1 quantum:18 out:1 living:1 hcp:24 matrix:39 space:7 vj2:1 vj1:2 since:2 rev:8 combinatorial:5 acting:3 rational:1 denoted:6 formula:1 shows:4 theory:2 associate:3 york:1 eigenvalues:2 ρia:2 ρib:2 definition:6 pairs:1 r1:1 vjs:1 ist:2 isk:1 length:2 hence:3 first:2 separable:15 ud1:1 features:1 striking:1 coding:1 number:2 given:3 necessarily:2 introduction:1 ρabc:6 system:2 siam:1 wootters:1 γci:3 rsk:2 quan:1 rst:6 separability:16 udm:1 distance:1 showed:1 wiesner:1 project:1 crepeau:1 martini:1 result:2 comput:1 ccq:10 zyczkowski:1 weinfurter:1 any:5 multipartite:3 subsystems:1 subgraph:5 k1:4 liq:18 semipositive:2 trace:1 normal:1 most:1 pair:1 considered:2 neighboring:1 kn:5 urk:1 graphs:25 points:3 hildebrand:3 notion:1 shor:1 show:1 fifth:1 d1:1 symmetric:1 true:1 written:1 lemma:6 only:5 going:1 factor:1 pointed:1 mixture:1 cryptography:1 get:6 dg:6 de:1 ones:2 new:1 hik:4 dp:24 prime:1 approach:1 transposition:1 arxiv:4 investigate:1 severini:3 contain:1 set:3 ser:1 λijk:5 testing:1 j1:2 j2:1 computer:1 w2:19 w1:35 recently:1 saif:4 αs:1 said:4 αu:2 tensor:7 αw:2 positivity:1 αa:3 state:4 between:2 αi:1 conditions:3 αl:1 αn:9 godsil:1 wrf:1 notice:2 terms:2 nature:1 wk:37 wl:1 transpose:5 jq:18 however:2 wu:2 wt:19 wq:3 jk:7 je:1 wtk:1 jn:4 com:1 otherwise:2 cn:1 cm:1 point:9 cc:1 height:1 polynomial:2 respect:5 ucm:1 cp:1 pq:5 described:1 basis:12 three:11 been:1 basic:2 ph:3 pi:3 empty:1 define:3 corresponding:4 uc1:1 sufficient:8 zeilinger:2 observe:1 c1:1 general:1 semidefinite:3 examine:1 royle:1 will:2 suppose:1 loop:1 seven:3 vectors:2 vi:13 von:1 vk:1 thus:4 vn:2 according:1 vp:3 ik:3 ij:2 ie:1 containing:1 jozsa:1 same:1 complex:1 quant:2 proved:3 finite:1 pan:1 used:1 nin:1 gc:12 i1:2 i2:1 wilson:1 v1:29 v2:14 edges:18 entanglement:6 identity:2 vertices:34 well:1 obviously:4 edge:9 entry:3 cq:1 know:1 popescu:1 cuboid:2 obtain:2 accepted:1 kluwer:1 density:35 lett:8 easy:1 theorem:6 divided:1 real:1 easily:1 mattle:2 spanned:3 entangled:19 αj1:1 αj2:1 unique:1 necessary:8 like:1 hardy:1 follows:7 yields:1 either:3 pramod:2 mathematical:1 ijt:1 neumann:1 some:1 cs:1 examples:1 moreover:1 reconsider:1 ijk:1 matching:1 cnu:1 dense:1 fourth:1 nonempty:1 does:2 proc:1 equivalent:3 processing:1 properties:5 about:1 theorems:1 discussed:1 beijing:1 kwiat:1 mixed:3 introduced:3 projectors:1 soc:1 communication:1 into:1 isomorphic:2 qrt:18 laplacian:5 ppt:2 operator:1 methods:1 wah:2 combinatorics:2 there:9 u1:25 u2:13 width:1 way:1 sections:1 rjt:2 complete:3 form:3 hb:6 hc:6 line:1 ha:6 rjk:1 partially:4 horodecki:3 whether:1 multiplicity:3 uw:1 ur:19 um:3 dordrecht:1 un:1 ui:25 sum:2 similar:1 called:8 mechanics:1 associated:5 computing:1 defined:7 abstract:1 chai:2 texts:1 denote:2 peres:10 loops:1 cbp:10 exist:1 formulation:1 formalism:1 commuting:2 vsk:1 braunstein:5 ekert:1 graduate:1 department:1 mathematics:2 branca:1 briefly:1 elements:1 star:1 vertex:1 important:1 structure:1 bases:1 vs:15 implies:1 assume:2 mancini:1 parallelism:1 ghosh:2 having:3
|
0705.2562.txt |@word neighbors:1 represent:1 abundances:9 consider:7 chain:1 varying:1 results:4 mp2:1 mezhlumian:1 inflating:1 contributions:1 reasoning:2 gr:2 λij:1 certainly:2 inverse:1 const:1 calculate:6 factoring:1 does:3 those:4 th:17 under:1 tegmark:1 include:2 ingredient:1 logarithm:1 conjecture:1 supported:2 presently:1 rαα:1 very:5 vastly:1 bubbles:2 fractal:3 condition:1 entire:1 tokyo:1 unlike:2 immediately:1 presented:1 did:1 πnn:1 list:1 solution:1 correct:1 large:15 discrete:1 small:22 entropy:2 referred:1 vanchurin:2 equation:2 upper:3 smaller:3 prediction:6 approximation:5 rate:11 picked:1 equal:2 dynamics:2 scientific:1 even:3 what:4 appear:1 morse:1 giving:2 section:5 while:4 expressed:1 version:1 above:7 new:2 increasing:3 method:1 contrast:1 full:1 gravitation:1 whose:2 galaxies:3 never:1 modify:1 here:6 agreement:2 smearing:1 free:1 κz:4 others:2 directions:2 depend:3 standard:1 observing:1 obtained:1 great:1 property:1 singapore:1 institute:2 involved:1 study:2 studied:1 denominator:1 prior:19 amount:1 resulting:1 eigenvalues:2 sugiyama:1 changes:2 garriga:4 kachru:3 via:1 regardless:1 extra:2 private:1 decrease:1 org:1 summation:1 apply:1 total:4 planck:3 landscape:14 use:7 would:15 prove:1 probabilities:13 positive:1 contains:3 predictions:4 next:3 few:2 live:3 call:1 therefore:1 taken:2 type:2 until:1 more:7 separated:1 flat:6 israel:1 successful:2 diagonal:4 problem:3 appendix:4 normalized:1 eternally:1 cases:1 hold:1 iii:2 cn3:2 abundance:3 high:1 account:3 ma:1 rβ:1 contradicts:1 tunnel:2 science:1 originally:1 work:1 ρn:3 infinitesimal:4 values:6 mp:1 following:3 making:2 example:6 claim:2 compare:2 cosmological:16 division:1 process:2 dependence:1 states:1 effectively:1 minimum:4 numbers:1 allowed:1 dominant:20 string:5 bousso:6 regularization:2 end:1 polchinski:3 terminates:1 discussion:2 holds:1 η2j:1 feature:2 write:2 instead:5 parameter:5 classify:1 greatly:1 product:2 huge:3 may:3 db:2 after:2 produce:2 preferred:2 fg:2 date:1 revealed:1 constants:3 clearly:1 pocket:2 realized:1 dα:5 outline:1 effective:1 grant:2 summing:1 parameterized:1 cosmology:3 switch:1 so:27 allow:1 decreasing:1 sa:1 order:13 typical:5 schwartz:5 gratton:1 indeed:2 over:6 years:1 course:1 paper:3 including:6 thesis:1 argued:1 existence:1 still:3 its:3 galaxy:1 before:2 regions:1 efstathiou:1 thank:1 ln:5 exact:3 sα:2 solving:1 coordinates:7 better:1 window:1 primordial:1 choose:1 ours:2 might:4 them:3 diagonalize:1 similar:4 impossible:1 obeyed:1 effects:2 they:5 now:9 discuss:1 represents:1 term:11 several:1 alex:1 always:1 university:3 level:13 identified:1 possibilities:1 realistic:7 magnitude:5 follow:1 each:9 found:1 2n:2 sato:1 κij:8 side:3 medford:1 upward:9 weighted:2 significantly:3 fairly:1 series:3 energy:1 gaussian:1 populates:1 weinberg:4 expect:9 measure:5 substantially:1 our:12 approximated:2 transitions:5 eq:38 event:1 shannon:1 out:3 shown:3 dominates:1 matrix:9 space:1 jump:15 since:5 rev:9 qc:2 douglas:3 increase:5 dominated:2 hill:1 suggesting:2 formula:1 dominate:1 ref:6 occurs:1 matrices:1 foundation:1 working:1 theory:16 eternal:3 differ:2 possibility:1 quite:1 nth:1 reason:2 perturbation:14 york:1 imagine:2 intermediate:1 phd:1 likelihood:1 definition:1 hubble:1 hamed:3 could:2 transition:23 times:1 length:1 jumping:1 erfc:2 exponentially:1 hence:2 first:14 key:2 staggered:2 vacua:49 probability:20 shapiro:1 feel:1 number:19 dimopoulos:1 clear:2 simplified:1 approximately:1 another:2 reached:4 size:6 given:21 toy:13 κji:2 introduction:1 unknown:2 eqs:3 least:1 their:4 assumption:3 rates:21 calculations:2 realization:3 speaking:1 gives:2 way:2 ratio:1 academy:1 explanation:2 exactly:2 zeroth:2 accurately:1 environmental:1 part:2 attempt:1 herself:1 than:8 relative:4 kind:1 johnson:1 showed:1 was:3 require:1 zero:2 matter:3 amplitude:1 were:4 perturbative:1 lowest:3 entail:1 coalesced:1 correction:1 canceling:1 randomly:1 say:2 unlikely:1 vilenkin:14 need:1 recover:1 orders:6 relatively:2 foundational:1 paths:3 depending:1 studying:1 able:2 ideas:1 4c:2 note:1 winitzki:2 take:7 finding:2 feshbach:1 switching:1 unperturbed:3 towards:1 unless:1 fundamental:1 though:3 measures:2 reach:3 most:4 involving:1 plan:1 significant:1 successive:1 analytically:2 extremely:2 why:1 probable:2 volume:7 give:2 observation:4 calculated:1 later:1 mrp:1 playing:1 astro:2 yang:2 principle:1 exp:14 usual:1 physics:2 sum:6 fact:2 applied:1 precise:1 selection:2 spaced:3 show:2 reorganize:1 labels:1 bring:1 gauge:1 astrophys:1 ashok:1 multiverse:5 find:22 based:2 just:3 parameters:5 explain:1 original:1 distributed:1 universal:1 should:7 terminal:3 analytic:1 only:14 going:1 anthropic:28 rich:1 factor:14 nucl:1 interested:1 perturbations:1 do:2 predict:2 dj:6 get:1 κab:3 utterly:1 da:4 nobs:21 cannot:1 dz:3 nearly:3 closely:2 invariant:1 4λn:2 arranged:1 dt:2 procedures:2 ds:1 reveal:1 evolution:1 places:1 arxiv:4 median:2 acknowledgments:1 investigate:1 contain:1 perlov:5 fixed:1 ignored:1 set:2 computed:3 observer:2 physically:1 smooth:5 national:1 hα:1 maximum:2 observed:6 differs:1 depends:7 sec:1 result:1 discussions:1 close:1 best:1 lee:1 said:1 exponent:4 review:2 currently:1 nucleation:5 enough:5 smallest:5 various:1 between:4 drawn:1 across:1 wide:1 ken:1 terms:6 august:1 extend:1 missing:1 component:1 handful:1 weak:1 however:9 beyond:1 jj:3 suppressed:4 distribution:25 last:3 numerically:1 many:6 region:1 according:2 sensitive:1 involve:1 eigenvector:3 interesting:1 γij:2 contribution:1 regimes:2 ci:1 relevant:1 cn:5 point:1 simple:2 recycling:1 non:1 decreases:3 maximize:1 associated:1 sensible:1 basis:1 addition:2 olum:1 due:3 tiny:3 much:3 slowly:1 interest:4 expected:1 ph:2 territory:1 pn:7 disfavors:1 define:3 direction:4 hawking:1 corresponding:3 sufficient:1 formed:1 cambridge:2 observers:3 observe:3 demand:1 worked:1 present:1 case:6 exponential:1 pobs:27 value:14 eigenstate:1 will:52 near:3 suppose:3 behavior:2 applies:1 tunneling:2 taking:2 procedure:6 real:1 larger:3 a4:1 refs:6 thus:23 site:1 iv:2 ii:3 middle:2 gone:1 different:14 constrained:1 combining:1 things:1 make:2 belong:1 eigenvalue:3 sized:1 same:14 any:9 turok:1 parts:1 arguments:1 widely:1 units:1 physical:1 conflict:2 higher:2 evolve:1 calculation:5 used:3 see:12 lie:1 numerical:2 effect:5 hand:5 levels:1 uses:1 infinite:1 changing:2 tufts:2 eigenvectors:1 lower:2 schr:1 matters:1 spacetime:1 min:1 well:2 roughly:1 directly:2 solve:3 λmax:7 lim:1 position:2 model:22 left:1 proposed:1 less:5 being:1 distribute:1 denef:1 rest:1 λc:30 clustered:2 questions:1 world:2 λj:7 λi:6 λn:40 previous:1 jcap:7 dialogues:1 density:2 aguirre:1 had:1 except:1 spread:1 lett:4 versa:1 adk:1 divided:1 identical:3 livio:1 around:1 easily:1 big:1 breaks:1 disagreement:1 possible:5 test:1 increases:3 inflation:3 vacuum:52 press:4 using:8 meaning:1 necessary:3 like:3 sizes:4 follows:3 qualitative:1 linde:5 specific:4 continue:1 either:2 martin:1 simply:1 downward:12 reasonably:1 therein:1 satisfactory:1 because:8 methods:2 sequence:1 some:8 specified:1 universes:2 diagonalizing:1 happens:2 ignore:1 scale:4 dense:1 sufficiently:2 opposite:1 summed:1 per:3 contributing:1 behave:1 unit:4 chains:5 limitations:1 particular:1 who:1 obey:1 sheng:1 rescale:1 jumps:23 wavefunctions:1 confidence:1 expansion:3 overall:2 step:1 bp:1 reduces:1 mcgraw:1 pogosian:2 about:10 pα:3 cn2:9 usa:1 universe:5 factors:3 o:1 reduced:1 likely:2 range:13 a2:1 2j:4 underway:1 introduced:1 d61:1 peak:1 equally:2 own:1 22j:1 communication:1 into:2 within:2 integral:1 bound:1 ηi:2 negative:1 down:7 included:2 perturbing:1 right:4 references:1 been:3 determine:2 computational:1 proportional:5 prefactors:1 theoretically:1 a3:1 permits:1 hep:16 additional:1 jhep:6 strictly:1 there:20 approximate:3 class:2 start:1 low:2 fraction:5 crucially:1 bubble:13 assumes:1 function:2 martel:1 complete:1 ed:3 triangular:3 but:8 hj:1 pj:2 solved:1 highest:1 true:1 made:2 compute:4 l73:1 consist:1 whether:2 characteristic:1 inside:1 variations:1 up:10 us:2 theoretical:1 bludman:1 below:1 limit:1 critical:1 organize:1 fluctuations:1 schechter:2 landscapes:2 average:2 nature:1 connect:2 strongly:3 smeared:1 required:1 constant:16 computing:1 defined:1 cover:1 abstract:1 contribute:1 general:1 ap:1 single:5 exist:1 nucleate:1 a7:2 formalism:2 distributions:1 happen:1 regime:4 eigensystem:1 again:1 compared:1 susskind:1 nn:10 no:9 whereas:1 nc:1 when:13 ourselves:3 other:6 role:1 details:7 department:1 easther:1 artificially:1 nonzero:1 elements:5 calculating:1 suginohara:1 models:8 variation:2 odinger:1 a1:2 chance:1 important:3 a5:1 allowing:1 suppression:5 a6:1 variable:3 astronomy:1 structure:1 arkani:3 implies:1 longer:1 vice:1 assume:2 n4:1 interval:2 rule:1 having:1 mass:1 fqxi:1 time:2 n2:1 evenly:1 starting:1 furthermore:2 once:2
|
0705.2563.txt |@word represent:1 katz:2 consider:4 rev:3 iib:6 focus:1 e2iβ:1 four:17 computation:4 expressions:3 contributions:1 koerber:2 toric:7 compact:12 preserves:2 dimensionality:1 depend:4 technique:1 tr:15 supported:1 finally:5 tm:3 manifolds:14 alberto:2 stable:1 global:5 deforming:1 string:8 straightforward:1 orthogonal:1 far:1 forcella:1 results:7 denoted:2 witten:1 additional:1 summarized:1 mrtn:1 matrices:1 deformations:2 condition:5 gg:1 annihilated:1 presented:2 turns:1 resolution:1 list:1 solution:6 large:5 discrete:1 vector:7 pakis:1 relation:1 shows:2 inspection:1 configurations:14 jhep:17 employing:1 rµ2:1 zi:9 ten:3 zk:12 sin4:1 sin2:18 sin3:1 sign:1 located:2 imply:3 iσ3:2 further:2 cft:5 odd:1 even:2 established:1 barrier:1 renormalization:1 section:11 brief:1 expressed:2 d3:8 lunin:2 version:1 above:2 new:2 3a:1 preserved:2 filled:1 3d:1 supporting:2 backreaction:1 flavoured:4 never:2 wrapping:1 wraps:3 here:8 diagonal:3 natural:1 reported:1 explore:2 objects:3 tangent:1 ansatz:10 groups:3 directions:6 along:2 equations:5 xη:1 interpret:1 z3:20 obtained:4 quart:1 scienza:1 study:5 studied:4 wn:4 couplings:1 superpotential:9 survey:1 procedure:2 su1:1 usually:1 suitable:3 spacetime:3 involves:1 y12:1 kachru:1 useful:2 projection:2 family:22 marginal:5 belongs:2 explained:1 maldacena:5 brought:1 iz:8 translational:1 apply:1 meson:1 tools:2 clifford:2 derivatives:2 mikhailov:1 would:3 intensively:1 aye:1 positive:1 contains:1 bundles:1 θdψ:1 almost:1 nucl:2 derivation:1 call:1 m0:14 m3:2 type:4 more:3 duals:3 dewolfe:1 th:34 neglected:1 operators:3 warp:2 appendix:5 particular:3 known:1 cases:2 potential:2 insights:1 involve:2 keeping:1 join:1 r2:3 sphere:2 deformed:16 recall:1 work:1 det:10 karch:3 theories:8 reproduce:1 itself:2 rtn:1 interaction:1 following:10 confining:1 example:5 polchinski:1 f3:1 f5:2 give:4 ds2:1 organized:1 annals:1 cation:1 dxn:3 dxm:5 performed:1 berenstein:1 martucci:5 end:1 breitenlohner:2 gcg:8 provide:3 ie:3 six:7 how:1 e2a:6 pure:13 instead:2 dσ2:1 sin:22 flavored:1 tension:1 product:1 de:2 description:4 may:1 after:3 singularities:1 mapping:1 applications:1 explored:1 choice:5 parallel:1 constants:7 ooguri:2 realized:1 introduced:3 branches:1 outline:1 effective:11 computations:4 explicit:1 correspond:1 su:37 dilaton:5 cannot:2 gravitons:2 allow:1 definitions:1 pulled:1 order:3 breaking:2 interpretation:6 dx:1 leigh:2 indeed:1 dα:1 satisfied:1 interpreted:1 stability:1 gauged:2 paper:2 thesis:1 differs:2 existence:2 satisfies:2 y2:2 its:3 before:2 geometrical:1 style:1 group:4 mariotti:2 shifts:1 interesting:1 masses:2 lm:1 grana:5 coordinates:19 forms:9 superpotentials:1 choose:4 main:2 deformation:13 supersymmetry:34 correspondence:3 non:30 affected:1 propose:2 outlined:1 framework:1 walls:7 try:1 they:9 oxford:2 now:5 hierarchies:1 comptes:1 easily:1 term:1 φk:3 tensoring:1 university:2 giddings:1 backgrounds:32 dσ3:1 realistic:1 filling:16 x21:1 2a:13 each:3 instability:1 identifies:1 dσ1:1 characterized:3 constraints:2 spinor:3 domain:11 differential:1 ei:5 dµ2i:1 simplicity:1 energy:1 ef:4 ea:4 related:1 conventions:1 torsion:1 extended:3 static:2 expect:1 ez:1 separating:1 our:1 special:1 out:2 pullback:2 shown:1 them:1 matrix:2 rr:3 space:20 restricted:1 since:7 crucial:1 re:2 rg:1 suggesting:1 get:1 math:8 ds26:4 theory:38 dictionary:1 attempt:2 admits:1 complicated:1 flows:4 besides:1 randall:1 generate:1 care:1 fixed:2 ds2m:1 chiral:11 language:1 geometry:12 m20:7 local:2 turn:1 int:1 place:4 massive:11 hence:4 waldram:2 distinguish:2 first:4 already:2 vacua:5 symmetry:8 zm:1 powerful:1 number:1 preservation:1 xe:1 restrict:2 will:2 warped:3 done:1 defects:3 gy1:1 fluxes:9 open:1 ser:1 given:3 zj:4 table:10 needed:2 introduction:2 adjoint:7 their:8 wrapped:8 structures:4 recovered:1 gives:1 holomorphic:1 tool:1 exactly:1 direct:1 part:2 authors:1 norms:1 x3:4 x0:3 x1:6 piazza:1 distance:1 stf:4 require:1 reacted:1 correlators:1 matter:1 classes:1 reconstructed:1 were:2 agata:1 result:1 bilinears:1 symmetries:4 tomasiello:3 spectrum:1 compactification:3 yχ:1 conjugate:1 recover:1 iσ1:3 contents:1 built:2 reminding:1 mib:1 physique:1 gravity:13 note:2 instance:1 z1:10 internal:25 2g:1 generalized:13 finding:1 so:1 towards:1 unless:1 iφ1:6 shall:1 any:3 sets:3 simplify:1 beta:20 thank:2 polyakov:1 phase:6 class:9 es:3 probes:6 picture:2 q3:5 hypermultiplet:1 especially:1 fills:3 considered:1 adopt:1 flow:8 typeset:1 yang:1 2f:4 θei:1 zaffaroni:3 subgroup:3 fact:1 hyper:1 prin:1 probe:4 terminate:1 infrared:1 x2:6 bicocca:2 gauge:36 solutions:11 d7:40 d5:22 trivial:12 find:10 make:4 q1:9 boundaries:1 giant:2 q2:9 parameters:5 baryonic:1 sparks:1 topological:1 should:5 iei:4 only:5 explicitly:1 petrini:5 factor:4 iea:4 kaluza:1 oct:1 giants:2 abelian:3 klein:1 infn:3 dg:3 between:5 aharony:1 pilch:5 joint:1 ones:1 dz:1 aη:3 combinations:1 dw:4 γm:1 dr:1 ds:1 dp:1 qq:3 covering:2 fields:4 arxiv:37 grav:1 acknowledgments:1 naked:1 investigate:2 hitchin:1 mapped:2 iσ2:2 cycles:3 minasian:5 iπβ:1 moduli:3 set:4 computed:1 reference:1 achieved:2 imposing:1 sitter:2 girardello:1 calabi:7 y1:2 see:7 sec:1 dz2:3 discussions:1 terms:11 iy2:1 flavor:1 concern:1 surfaces:1 phases:5 satisfying:3 interacting:1 review:2 definite:1 supergravity:13 label:1 symmetric:1 written:2 determined:1 closed:1 respectively:5 αi:5 invariant:1 geometric:1 conditions:21 x22:1 preserve:2 program:1 embeddings:24 do:3 component:5 however:6 killing:1 vanishing:6 butti:2 probing:3 configuration:10 τk:11 suggested:1 both:2 cos:15 prescription:1 ieiθ:1 taking:2 la:1 equal:1 vielbeins:1 admit:1 cos4:4 embedding:18 cos3:1 whole:6 fix:1 cos2:9 comment:1 ci:1 relevant:2 point:3 wall:4 asymptotically:1 corresponds:2 dimensional:24 analyzed:4 anti:2 moreover:2 branes:66 considering:1 sensible:1 described:3 pw:14 second:2 addition:2 three:17 been:8 strategy:1 ai:10 much:1 iy1:1 z2:10 basic:1 expected:1 holographically:2 generating:1 contribute:1 supersymmetric:72 reaction:1 cotangent:1 quantities:2 σi:1 defect:5 observe:3 c3:7 c2:7 c1:6 denote:3 assigning:1 present:1 case:19 bχ:3 critical:1 look:10 exponential:1 evaluated:2 choices:2 employ:1 while:1 resulting:1 gubser:2 eij:1 conformal:5 region:1 characterizing:3 della:1 iy:2 ix:2 klebanov:3 larger:1 orientation:1 xµ:6 coupled:3 fill:2 metric:9 ir:8 thus:1 dxν:1 ii:1 reads:1 ij:2 im:7 dual:35 parametrising:1 susy:1 vanish:2 superconformal:2 different:8 italy:1 generic:1 intended:2 dvolσ:4 same:6 poincar:1 φa:1 φb:1 complex:23 quant:1 viewed:2 conversations:1 φi:1 φj:1 constructed:3 breaks:2 european:1 independent:1 used:6 flavours:15 comprehensive:1 sym:16 hand:1 parametrized:1 infinite:1 invariance:3 rµ1:1 cycle:11 correspondent:1 modes:1 charges:3 expression:5 calibration:1 well:2 analysis:4 γmn:3 calibrated:1 solve:1 does:7 components:1 consistency:1 coordinate:2 ae:1 paradigm:1 dphil:1 usual:2 ck:8 manifold:20 appendices:1 just:2 less:1 mills:1 observed:1 obtain:3 reviewed:1 shape:1 gnm:2 identify:3 using:4 followed:1 freedman:3 adv:3 adding:7 preprint:1 ads:8 conclude:3 except:1 mazzanti:1 simple:3 add:5 interested:1 lett:4 easy:1 iχ:1 take:6 real:14 rescaled:4 tests:1 around:1 nunez:1 read:1 phenomenology:1 couple:3 sums:1 possible:4 cf:1 gualtieri:1 holographic:1 background:15 world:17 formal:1 ns:4 appearing:1 like:6 identifying:1 follows:3 iξk:3 admitted:1 shrink:1 flux:17 imposes:1 arbitrary:3 mode:1 therein:1 parity:1 because:1 smoothly:1 successfully:1 some:2 back:4 ct:1 pσ:26 deduce:1 gy2:1 slice:4 b2:2 specified:1 martelli:2 ads4:1 ourselves:2 eiα:1 provided:2 eiβ:1 dimensions:1 lead:2 prot:1 superfields:2 subclass:8 dz1:5 αei:1 dz3:2 behave:1 compute:3 y22:1 propagating:1 smyth:1 mesonic:2 refer:2 bf:1 reaching:2 compactifications:2 radial:1 ez1:4 ez2:4 broken:2 nowhere:2 although:1 imaginary:2 super:1 properties:1 submanifold:4 calibrations:2 holography:2 carried:1 commun:1 o:3 yau:7 a2:4 plus:2 oz:1 warner:6 gamma:1 ic4:1 ds210:1 eφ:1 dξ3:1 presence:1 into:2 bound:1 ηi:2 undeformed:3 pair:3 hermitian:1 references:1 wβ:2 wrap:1 cascades:1 spinors:18 hep:34 log:5 commission:1 support:1 there:4 long:4 u2:2 strassler:3 rept:2 e4a:4 analyze:2 was:3 naturally:1 function:4 gauntlett:2 complete:2 form:10 brane:32 gz:6 but:4 volume:18 hn:1 line:1 ns5:1 kahler:1 pull:1 made:2 flavour:14 embedded:3 minkowski:7 inside:2 uv:1 placed:2 limit:2 submanifolds:2 fluctuations:1 embed:1 similar:2 ezi:1 detailed:3 diverges:1 constant:10 ezj:2 bispinors:1 computing:1 defined:10 milano:3 abstract:1 describe:1 s26:3 covers:2 general:6 globally:8 single:4 dθ:1 ink:1 formalism:2 duality:4 again:2 functions:8 no:4 neglecting:1 whereas:1 nc:2 when:4 vanishes:5 nf:26 field:8 other:9 details:2 branch:2 massless:2 dxµ:1 ick:6 briefly:1 ads5:5 kinds:1 models:1 dall:1 includes:4 a1:4 a3:7 ξk:12 allowing:1 rendus:1 included:2 ξa:1 θe:1 structure:22 e2iα:1 implies:2 longer:1 coulomb:1 starting:1 factors:2 4r:1 theor:4 having:1 casero:1 mass:10 time:13 once:1 requires:1 strings:13 4a:2
|
0705.2564.txt |@word essay:2 partial:1 consider:2 remarkable:1 parametrizing:1 magnetic:1 focus:2 four:4 kuleuven:1 entropy:34 computation:1 edu:2 gn:1 remarkably:1 denotes:1 contributions:1 hole:24 seemed:1 referring:1 longstanding:1 doe:1 everywhere:1 tr:1 noncompact:1 charge:13 program:1 present:1 th:15 under:2 microscopically:2 string:7 sitting:1 far:1 p0:3 results:3 witten:3 entries:1 cardoso:1 frederik:2 exact:2 condition:1 entire:1 impressive:1 solves:1 t2:1 solution:5 t1:1 large:2 solved:1 enclosing:1 small:1 fortiori:1 degeneracy:1 jhep:5 htm:1 zero:1 scientific:1 even:1 index:5 primer:1 plays:1 remain:1 centers:3 version:1 poles:1 above:1 values:1 acknowledgments:1 dwarf:1 component:1 equals:2 here:1 reported:2 separation:1 galileo:1 strong:2 galilei:1 obtained:2 sending:1 suitably:1 technical:1 leaves:1 larger:1 ferrara:1 resulting:1 definitively:1 usually:1 hospitality:1 suitable:1 spacetime:1 scales:1 merely:1 while:2 scaled:1 wit:1 total:6 usa:1 remains:1 positive:3 nonsupersymmetric:1 γi:5 nucl:2 therefore:1 wondering:1 type:1 theoretical:1 minor:1 more:5 duality:1 successful:1 warp:1 carrying:1 iia:1 threefolds:1 particular:2 known:2 objections:1 producing:1 potential:2 must:2 science:1 equation:1 work:3 theories:1 labeled:1 obvious:1 pλ:2 equilibrium:1 example:4 figure:1 give:1 states:14 assumptions:1 dxi:1 sense:2 counting:4 fysica:1 rather:3 s2:1 s1:1 breaking:1 quivers:1 revisit:1 how:2 fourth:1 answer:1 parameter:1 product:2 plato:1 description:1 entropically:1 thermodynamic:1 dwarfed:1 mapping:1 barriers:1 fd:1 spectacularly:1 fits:2 choice:1 data:1 constants:1 bekenstein:3 elusive:1 effective:1 computations:1 light:1 explicit:1 summing:1 extremal:4 lrr:1 so:3 fundamental:1 halos:2 subsequently:1 order:1 office:1 indeed:3 over:2 move:1 satisfied:1 stability:1 held:1 through:1 statistical:1 existence:2 its:2 perfect:1 style:1 group:1 thank:1 fit:2 microstates:5 relativity:2 tori:1 actually:1 attraction:1 absence:1 microscopic:5 systems:1 policy:1 ceases:1 might:1 deformation:1 overcome:1 them:1 bekensteinhawking:1 scaling:3 now:2 hall:1 prize:1 easily:1 gets:1 university:1 drop:1 each:2 2n:1 side:1 reproducing:1 domain:1 weighted:1 energy:6 idea:1 t3:1 obtains:1 quantum:1 our:2 happen:1 extract:1 event:1 special:1 out:1 living:1 dominates:1 space:4 since:5 crucial:1 research:1 particles:1 may:1 seriously:1 t22:3 formula:1 instituut:1 dominate:2 issue:1 math:1 foundation:1 theory:7 interactions:1 galaxies:2 possibility:1 quite:1 completely:3 necessarily:1 complicated:1 org:2 pairs:1 fixed:1 bates:1 r3:1 could:4 celestijnenlaan:1 ds2:1 voor:1 turn:1 4p3:1 derivations:1 4p0:1 hence:4 configurations:6 βh:1 origin:2 xi:6 vacua:1 number:1 system:2 intuitively:1 done:1 least:1 precisely:2 angular:1 given:7 law:1 leading:3 theoretische:1 approximately:1 their:1 master:1 nonextremal:1 wrapped:1 molecular:2 t32:3 final:1 collapse:1 allegedly:1 centered:17 exactly:1 took:1 part:1 subsector:1 x2:2 believe:1 than:2 integrability:1 matter:1 determined:3 contrary:2 were:2 symmetries:1 behrndt:1 dynamically:1 spectrum:1 kallosh:1 comfortably:1 need:2 curved:1 constrained:1 any:3 affairs:1 genuine:1 ideas:1 gravity:1 zoo:2 extracted:1 internal:1 take:1 forces:1 negligible:1 electric:1 trace:3 who:1 most:2 mohaupt:1 significant:1 position:1 nuisance:1 cases:1 surprising:1 considered:2 implications:1 typeset:1 accounted:1 principle:1 ku:1 usual:1 physics:4 fact:4 sector:1 hyper:1 phenomenon:1 show:2 supported:1 discovered:1 gauge:1 solutions:12 12v:1 d6:1 d4:2 uniform:1 d2:2 d0:2 ground:3 completion:1 q0:4 x1:2 damour:1 assertion:1 topological:1 should:2 only:2 black:40 molecules:1 factor:1 various:2 merged:1 dispute:1 do:3 dominant:1 dh:1 de:2 cannot:1 dx:1 invariant:1 during:1 dt:1 runs:1 constituents:1 fields:1 arxiv:13 qi:1 cycles:2 hλ:5 moduli:1 art:1 computed:3 exists:1 j3:2 calabi:2 namely:1 terms:2 quantizing:1 wonder:1 federal:1 away:1 supergravity:5 symmetric:4 state:3 identification:1 orbiting:2 progress:1 justified:1 approach:1 recently:1 statistically:1 wrapping:2 weak:2 however:4 enigmas:1 lopes:1 answers:1 key:1 bose:1 originates:1 accident:1 tangible:1 summa:2 tractable:1 many:4 mrtn:1 equal:1 contract:1 merging:1 context:1 wald:1 point:2 appeared:1 harmonic:2 community:1 dimensional:6 cancel:1 moreover:1 branes:7 raise:1 second:1 thermodynamics:2 yau:2 three:1 been:4 ai:1 asymptotics:1 hawking:3 basic:1 fig:1 corresponding:6 scalars:1 blackhole:1 interuniversity:1 those:2 multi:3 p5:1 single:18 will:3 institute:1 stunning:1 rutgers:2 programme:2 supersymmetry:2 reliably:1 property:1 couplings:1 real:1 strominger:5 coupled:3 metric:4 thus:4 non:1 surface:1 lust:1 beautifully:1 technology:1 disappear:1 compactified:1 grant:1 generic:1 same:2 complex:1 split:1 widely:1 units:1 several:2 grows:1 european:1 independent:1 extended:1 infinity:1 receives:1 see:2 functions:2 flows:1 hand:2 v2:1 invariance:1 cycle:2 lower:1 weakly:4 kept:1 center:2 charges:4 well:2 cultural:1 concrete:1 without:2 quantitative:1 parametrically:1 charged:2 manifold:1 just:4 being:3 generally:1 3p2:1 newton:1 denef:5 homogeneity:1 underlying:1 identify:1 human:1 spherically:4 macroscopic:2 yet:1 adv:1 adding:1 preprint:1 conclude:1 simple:1 priori:1 lett:2 input:1 matched:1 momentum:1 identical:1 2j3:1 around:1 depends:2 articles:1 maldacena:1 competing:1 fys:1 increases:1 holographic:1 five:1 background:1 vacuum:1 belgium:1 bit:1 new:1 loss:1 theor:1 like:1 particle:3 identifying:1 exploiting:1 microcanonical:1 sized:1 bps:1 contradict:1 composites:1 stationary:5 www:1 leuven:2 classical:1 some:2 competition:1 certain:4 understood:1 respect:1 indirect:1 provided:1 entropic:2 hodge:1 piscataway:1 does:2 t12:3 bλ:1 minimal:1 livingreviews:1 medieval:1 compactifications:1 agreement:1 although:2 universe:1 hilbert:2 tuning:1 about:1 actual:1 would:1 constraint:1 theirs:1 http:3 nonvanishing:1 aλ:2 horizon:6 gregory:1 constraints:1 rev:2 within:2 bound:8 due:1 right:1 references:1 raises:1 sabra:1 hep:13 additional:1 area:3 vafa:3 assumed:1 support:1 there:5 question:3 fast:1 low:1 way:1 was:3 function:4 head:3 enough:1 brane:8 but:4 fg02:1 true:1 count:1 infn:1 made:3 compute:2 gravitating:1 stanford:1 compactification:2 gravitational:1 up:2 us:2 ωi:1 limit:5 demonstrate:1 problem:5 belgian:2 beliefs:1 regimes:1 strongly:1 constant:2 moore:1 pin:5 computing:1 defined:2 curvatures:1 abstract:1 general:2 conserved:1 exist:2 supersymmetric:16 face:1 regime:5 nj:1 200d:1 no:2 objection:1 qλ:1 when:5 other:3 role:1 details:1 spatial:1 department:1 really:1 conclusion:1 explaining:1 star:1 allowing:1 included:1 fermi:1 astronomy:1 implies:2 coupling:5 dω:1 controlled:1 typically:1 holes:19 4s:1 together:1 ct:1 serious:1 requires:1
|
0705.2565.txt |@word concept:1 consider:2 caused:5 magnetic:3 activated:1 results:3 existing:2 interpret:2 grateful:1 correc:1 localized:5 rd:1 inverse:1 depend:1 differently:1 ac02:1 granular:2 contract:2 quasi:1 does:3 petersburg:1 under:5 tg:2 td:1 cm3:1 δgs:1 random:1 g0:12 dynamic:1 rise:1 martinez:2 amorphous:4 splitting:1 electron:37 decide:1 summarized:1 1ps:1 difference:1 logarithmically:2 condition:2 leads:2 randomness:1 clouds:1 quantitatively:1 level:9 ageing:1 tokyo:1 michael:1 applicable:2 t0:12 ri:1 large:1 vector:1 minimal:1 small:3 dip:2 dis:1 upper:2 glassy:4 zh:1 disordered:3 consistent:1 estimates:4 direct:1 sign:1 approximation:4 located:2 rate:3 equal:2 qualitatively:3 dynamics:2 estimated:4 galperin:3 esquinazi:1 linear:1 what:1 sum:1 interactions:1 while:5 expressed:2 find:1 experiment:3 above:4 new:3 acknowledgments:1 3d:1 quenched:4 condensed:1 integrated:1 cass:1 degree:1 fiz:1 respectively:3 hunklinger:1 electronelectron:1 κa:2 here:1 atoms:6 behaviour:1 asymmetry:1 mev:1 them:1 groups:2 relaxation:19 directions:1 consideration:3 standard:1 field:2 appears:1 logarithmic:7 box:1 06ch11357:1 lebanon:2 gay:1 institute:2 shift:5 study:1 adjusts:1 experience:1 suggests:2 simultaneous:1 permit:1 therein:2 changes:1 examining:1 useful:3 projection:1 rosenberg:1 clare:1 semiconductors:2 explained:2 compare:1 brought:1 markovic:2 summation:1 apply:1 philip:1 cloud:1 environment:1 use:2 charge:6 takes:2 would:1 prove:1 probabilities:2 teor:1 coupled:1 predictions:1 france:1 sample:3 tm:1 therefore:4 memory:17 films:2 associated:4 10nm:1 theoretical:3 more:3 introducing:1 optimizing:1 relax:1 becomes:1 factor:2 pairs:1 aware:1 glass:6 particular:2 iii:2 must:3 logarithm:1 high:2 account:2 mc:1 indirectly:1 ed:1 science:1 equation:1 work:3 halperin:1 unfortunately:1 oxide:1 itself:1 values:1 temperatures:2 freedom:1 following:3 mott:2 stimulating:1 performed:3 radius:4 renormalization:1 mccammon:1 predict:1 thermally:1 organized:1 states:20 minimum:1 numbers:1 council:1 sense:1 verlag:1 silicon:1 argonne:2 end:1 surrounded:1 oslo:2 discussion:1 breaking:1 arrangement:1 chemical:3 how:1 suggested:1 vancouver:2 adjacent:1 answer:1 gate:12 those:7 constraints:1 parameter:1 belongs:1 berlinheidelberg:1 mat:1 undergoing:1 may:5 demonstrates:1 after:2 derived:1 gardner:1 reflect:1 mag:1 waves:1 δvg:3 law:4 revealed:1 response:1 goal:1 realized:1 canning:1 tulane:1 light:1 st:3 hpair:1 so:3 decreasing:1 polyakov:1 acknowledges:1 words:1 order:6 typical:6 restriction:1 help:1 office:1 considerations:1 attain:1 indeed:1 over:5 move:1 cosh:6 cohen:2 produced:1 thermal:2 paper:1 through:4 experimentally:1 agricultural:1 still:2 excitations:6 its:8 phillips:1 τm:8 probability:1 τh:3 la:1 energies:4 vicinity:1 estimating:1 absence:3 degrees:1 systems:9 insulator:1 persist:1 main:1 norway:2 eur:2 cusp:4 non:9 affected:2 pure:1 than:7 universality:2 material:3 fig:3 yg:1 break:1 band:1 effects:11 they:2 eµ:1 now:3 yu:4 discuss:2 dielectric:5 possess:2 2t:6 marcus:1 always:1 university:3 hamiltonian:1 possibilities:1 applied:1 magnitude:2 prerequisite:1 reasonable:1 positions:2 cusps:3 characterized:4 referred:1 subsystem:2 significantly:1 chorin:1 efros:7 ef:1 used:3 conductance:6 frequency:3 expect:2 entering:3 measurement:3 separating:1 laboratory:1 transitions:3 eq:10 es:5 description:1 canada:2 shown:1 matrix:1 factors:2 restricted:1 jump:1 since:4 rev:20 douglas:1 research:1 increase:3 participants:1 suggesting:1 induced:3 ref:12 shklovskii:9 independence:1 shows:1 benjamin:1 blindern:1 earlier:3 theory:4 barrier:2 localization:3 mechanisms:1 possibility:1 quite:1 dependencies:1 formation:5 york:1 put:1 estimate:3 e2:4 definition:1 rearrangements:3 interaction:25 bring:1 derivation:2 r2:1 created:1 widths:1 goldman:2 transition:3 british:1 times:2 motion:1 turn:1 length:2 place:2 exponentially:1 target:1 barriers:1 conductors:1 neglected:2 configurations:2 extrinsic:6 first:2 major:1 features:1 manuscript:3 possessing:1 assumptions:1 number:2 references:2 channels:1 smaller:3 acoustic:1 defects:5 directly:1 mosfets:1 electronic:28 given:2 temperature:19 similarly:2 introduction:1 leading:4 interact:1 system:13 least:2 heights:1 1a:1 their:16 assumption:4 observations:3 1k:1 leggett:1 final:1 gives:1 progr:1 academy:1 kirkpatrick:1 acquire:1 proving:1 accurately:1 transverse:1 july:1 believe:4 peculiar:1 population:1 distance:1 polarized:1 ben:1 hopping:29 double:2 l49:1 see:4 matter:1 appealing:1 classes:1 polarizes:1 amplitude:1 were:4 sec:5 tion:1 toward:1 treated:1 russia:1 extracting:1 exhibit:1 lowest:3 ev:2 correction:8 mind:1 attenuation:1 randomly:1 analysis:1 further:1 concentration:2 apparently:1 any:1 depending:1 βe2:1 responsible:2 mechanism:3 metallic:2 note:1 sciences:1 potential:4 take:2 analogy:1 sherrington:1 dered:1 data3:1 accuracy:1 electric:2 opposite:1 serve:1 techniques:1 most:3 boltzmann:1 regular:1 thank:1 letter:1 quantitative:2 phase:1 preexponential:1 intrinsic:2 class:1 physico:1 kb:4 observation:1 considered:2 neighboring:5 average:1 phil:1 steady:1 newcomers:1 electrons:10 principle:1 exp:13 mechanical:1 dos:4 physics:4 width:3 fact:1 quantity:4 slope:1 thomas:1 insulators:3 show:4 attracting:1 nσ:1 sites:2 russian:1 relation:1 uniform:1 data:7 agrees:4 orleans:1 slow:13 based:3 parameters:5 much:3 explain:2 outside:1 should:5 being:1 only:9 screening:1 φn:1 equilibrium:19 boris:1 do:2 get:3 dependent:6 dd:2 de:1 bear:1 cannot:1 nonequilibrium:2 closely:1 international:1 during:1 dr:1 experiments1:1 regarding:2 approach:1 arxiv:1 comprising:1 microscopy:1 investigate:1 experiments:1 protocols:1 common:1 doped:1 explanations:1 valid:2 atomic:5 scanning:1 set:2 our:13 kozub:2 national:1 correlations:1 comparable:1 topics:1 observed:8 intensity:1 bare:2 result:2 discussions:2 close:4 conductivity:23 instance:1 ovadyahu:10 interacting:1 subsequent:1 review:1 dipole:11 state:6 determined:1 various:3 between:6 affecting:1 fermi:5 justified:1 conditions:4 screen:1 available:2 notice:1 recently:1 nature:2 initially:1 weak:2 jv:1 attention:1 subject:2 however:2 hypothesis:1 strong:2 analyzed:1 ac:1 vrh:4 suppressed:1 jc:1 tls:50 both:1 vaknin:3 many:3 taking:1 density:18 according:3 attributed:1 ln:13 connection:1 dated:1 exceeds:3 attributes:1 contribution:2 expression:4 experimental:19 con:1 arbitrarily:1 minima:1 relevant:3 cm:2 simple:1 excess:1 sweep:2 height:1 respect:3 crystalline:1 tlss:9 finally:1 configuration:1 described:3 raise:1 stamp:1 create:1 due:7 been:2 adkins:1 describes:2 slowly:3 change:8 interest:1 certain:2 expected:1 louisiana:1 po:1 define:1 obtained:2 corresponding:1 relaxing:3 suppress:1 formed:6 resistance:1 gap:15 maps:1 representative:2 careful:1 spin:2 former:1 present:1 case:2 p0:9 exponential:1 pacs:1 solid:3 decades:1 ǫh:3 ij:1 single:4 value:3 will:2 technical:1 near:2 abrupt:1 behavior:9 christiansen:2 exist:2 tunneling:5 program:1 anderson:1 studied:1 vg:5 almost:1 1z1:1 refs:1 vk:1 thus:10 site:1 iv:3 ii:3 sudden:1 cond:1 il:1 vv:1 turns:2 2g0:1 different:2 supported:3 suggest:1 same:3 clearly:1 shifts:2 unity:1 φi:5 dimensionless:2 defines:1 conflict:1 independent:1 investigated:1 columbia:1 numerical:1 structurally:2 effect:8 driven:1 norwegian:1 moment:7 uses:1 changing:2 explains:2 center:2 scenario:1 well:4 polarons:7 without:1 solids:2 materials:9 position:2 model:5 chemistry:1 dimension:2 proposed:1 less:3 moments:1 v6t:1 thickness:2 shape:2 voltage:12 jetp:1 uller:4 alternative:1 yet:1 previous:3 enters:1 grouped:1 remember:1 regents:1 about:2 thermodynamics:1 burin:4 lett:10 pair:1 structural:13 excited:1 εh:16 around:1 depends:1 situation:1 replaced:1 possible:3 possibly:1 increases:2 using:7 nanotechnology:1 advanced:1 adams:1 necessary:2 like:1 follows:1 holes:1 serves:2 ignore:1 yields:1 either:2 rearrangement:1 δg:4 stationary:1 reasonably:1 function:1 exceed:1 because:3 often:1 affects:1 successfully:1 some:6 springer:2 pacific:1 delahaye:1 30k:1 proper:1 transport:2 specific:1 scale:3 lead:1 broad:2 measurements:2 integration:2 comments:2 contributing:3 critical:1 connecting:1 ductivity:1 provides:1 assuming:2 τmax:2 osheroff:3 demonstrated:3 averaging:2 implying:1 noise:4 workshop:1 power:1 bc:1 equivalent:1 broken:1 step:1 shifting:1 although:1 substitution:1 properties:1 chapter:1 conducting:2 central:1 usa:3 disorder:7 discussed:2 dependence:6 o:2 range:6 suggestions:1 glasses:1 road:1 cutoff:1 contains:1 significant:2 presence:1 into:2 within:5 integral:1 down:1 locator:1 involvement:1 determine:1 sov:1 operator:2 pollak:6 reducing:2 sabra:1 varma:1 fast:2 additional:1 mack:2 there:3 question:1 approximate:1 long:2 occupy:1 board:1 influencing:1 low:8 way:1 kagan:1 vinokur:2 was:7 energy:38 assumes:1 fluctuators:2 polaron:10 journ:1 form:2 forming:3 removes:1 delayed:1 but:2 volume:1 taken:3 ioffe:2 encoded:1 eksp:1 relaxes:1 bilateral:1 made:2 presented:1 coulomb:18 temp:3 whether:3 characteristic:7 maximum:1 us:3 until:1 dφ:1 below:4 limit:2 verification:2 natelson:2 ue:2 distribution:4 similar:4 strongly:4 ohm:1 pij:3 ab:2 constant:4 ad:4 defined:5 metal:2 universal:2 uij:4 influence:2 deep:1 general:1 examine:1 ino:1 au:1 av:1 controlled:1 moves:1 check:1 regime:2 compared:2 nm:1 nn:1 no:3 populations:1 when:4 application:4 other:3 details:1 papers:1 department:3 out:5 conclusion:1 erg:2 apparent:1 grupp:2 excitation:1 models:1 aggregates:1 in3:1 important:3 peak:1 velocity:1 variable:3 structure:2 conclusive:1 correlated:3 longer:1 calls:1 assume:1 kinetics:1 having:3 4k:1 time:19 original:1
|
0705.2566.txt |@word represent:1 consider:14 magnetic:15 focus:3 produce:13 leads:1 ǫa0:1 computation:2 edu:2 consists:1 producing:1 acting:2 glaser:3 compensate:2 under:3 analogous:4 include:1 norm:1 applied:6 amplitudes:1 straightforward:1 evolves:1 frequencies:1 noncommuting:1 induce:1 choice:2 every:1 dispersions:6 govern:3 difference:1 matrices:5 entire:3 school:1 immediately:1 presented:3 large:5 vector:6 small:4 relation:2 noted:1 says:1 pulse:31 approximation:15 second:1 design:22 perspective:1 chen:1 dynamics:6 implemented:2 linear:6 even:1 errors:2 sum:1 uniform:7 version:2 above:1 new:3 net:13 method:6 med:2 full:2 simultaneously:2 reliably:2 desires:1 here:2 desired:14 identifications:1 selective:8 along:2 equations:12 remark:1 study:3 u3k:2 example:10 resulting:2 resonance:16 fourier:5 appropriately:1 tasks:1 useful:3 explained:2 πk1:16 decrease:1 apply:3 total:8 propagators:1 unit:6 plot:3 use:4 usa:2 nine:1 cho:1 vol:14 m1:2 m2:2 more:1 gyromagnetic:1 composite:6 acceptable:1 controlling:1 normalized:5 particular:1 known:3 cases:2 iii:1 involve:1 keeping:4 challenge:1 work:1 mi:1 values:11 following:2 making:3 trans:1 my:14 mx:11 history:1 control:23 figure:7 give:3 discussed:6 sample:4 sphere:17 incremental:1 performed:1 want:2 arise:1 sharp:1 nonnegative:3 axis:21 normalize:1 information:3 end:1 goal:1 six:1 orthogonality:1 how:1 fas:1 instead:2 parameter:11 sin:12 profile:1 product:2 designer:2 may:16 max:1 after:3 applications:4 mesh:2 designed:6 multiplication:1 law:5 constants:1 recursive:1 natural:1 schneider:1 lines:1 correspond:1 element:2 so:13 fundamental:1 subsequently:1 βk:37 order:6 typical:1 imagining:1 leigh:1 produces:3 over:2 entries:1 choose:4 distortion:1 produced:2 paper:9 pulses:11 satisfies:1 ieee:2 le:3 chosen:1 exact:1 li:1 πks:9 systems:11 zhou:1 defining:1 into:1 overcome:1 freeman:2 designs:1 good:3 widely:1 material:1 introduce:1 optimal:2 rotation:38 now:7 silver:1 represents:4 inversion:5 finite:2 always:1 university:2 level:1 ensemble:8 πk2:13 sufficiently:2 magnitude:1 deteriorated:2 each:4 polynomially:1 characterized:1 england:1 series:10 idea:1 used:6 inverted:1 inhomogeneous:2 frequency:2 static:1 quantum:10 matrix:2 gradient:6 since:5 u2k:17 replacing:2 rf:17 nominal:1 shows:7 theory:2 offsets:1 governing:2 navin:2 imaging:10 generate:3 high:1 retained:2 derivation:1 ontrol:1 keep:1 plane:1 u20:3 think:3 first:5 origin:1 ntroduction:1 symmetry:1 pines:1 number:2 approximate:7 synthesize:1 multiplying:1 done:2 approximately:9 another:1 profiles:1 engineer:1 pryor:3 given:1 rewritten:5 similarly:2 πk:1 system:17 construct:1 their:3 too:2 final:13 exploring:1 transverse:1 skelton:1 review:2 requisite:1 esign:2 coefficients:4 population:3 king:1 decided:1 sections:1 approximations:1 compensation:2 deg:1 amplitude:4 were:1 providing:1 steer:2 usefulness:1 exhibit:1 rad:1 sees:1 san:2 generality:1 rewrite:1 premier:1 medical:1 seen:2 unaffected:1 any:5 relatively:1 constructions:1 angle:6 roux:3 depending:1 sciences:1 depiction:1 internal:1 finding:1 performance:2 canonical:1 inhomogeneity:10 transactions:1 aws:1 exponentials:4 said:1 experiences:1 skinner:2 pair:1 ke:1 clear:1 later:1 face:1 points:1 mri:1 exp:68 pattern:1 physics:1 section:1 fact:1 laws:5 incorporate:1 show:4 text:2 waveforms:1 radio:2 threshold:1 find:3 ratio:1 ensembles:2 parameters:12 outside:2 controls:11 should:7 only:2 generators:2 specify:1 bernstein:1 do:1 get:2 dependent:10 made:1 dt:5 falling:2 evolution:7 continuum:2 fields:6 arxiv:1 experiments:2 common:1 including:2 fixed:1 n12:2 eecs:1 set:1 computed:1 flip:1 see:4 individual:3 result:2 techniques:2 practice:1 exploited:1 nuclear:1 away:1 symmetric:1 state:22 between:3 approach:1 across:3 available:2 notice:1 terms:14 spectroscopy:7 extend:1 nature:1 importance:1 implementing:2 harvard:3 selectively:1 come:2 problem:6 both:2 cos:46 nishimura:2 limits:1 many:5 region:2 ramp:1 context:1 ernst:1 otherwise:1 arbitrarily:1 relevant:2 corresponds:3 eferences:1 dimensional:2 sequences:5 polynomial:1 considering:2 pp:14 described:1 tycko:2 three:2 interest:3 kronecker:1 compensating:3 u10:3 ph:1 fig:6 direction:1 relations:1 corresponding:3 sufficient:1 excite:1 coherent:1 angles:4 spin:4 present:1 case:4 k2:5 u1k:17 utmost:1 expanded:1 engineering:1 value:7 will:10 while:6 suppose:3 ǫv:3 ǫu:3 error:6 procedure:6 unitary:2 almost:1 thus:6 iv:1 ii:1 dual:1 elsevier:1 protein:1 leaving:1 nielsen:1 different:3 pauly:1 perform:1 make:2 same:3 member:1 reiss:1 noninteracting:1 quant:1 arguments:1 schematic:1 units:1 constructed:3 independent:3 literature:1 dǫ:3 diego:2 upon:1 effect:3 v0:1 strength:1 scale:1 task:1 kept:1 whereby:1 mz:14 modeled:1 well:2 analysis:2 thought:2 academic:2 without:2 coordinate:1 position:9 arising:1 justify:1 magnetization:1 just:2 ependent:1 using:16 palmer:1 previous:2 application:3 k1:5 signals:1 valid:1 excited:1 euler:4 ripples:2 around:11 showing:1 decomposed:3 results:13 five:3 press:3 integer:1 depicts:1 loss:1 appearing:1 follows:1 signal:2 performing:2 either:1 arbitrary:5 spins:4 mathematical:1 exceed:1 because:2 methods:8 sequence:21 successfully:1 some:4 back:2 b0:1 examples:3 choosing:7 specified:1 brent:1 provided:1 slice:6 proceeding:1 dimensions:2 broadband:3 ethod:2 everything:1 does:1 decomposition:1 assuming:1 prog:1 chuang:1 propagating:3 proc:1 demonstrated:1 nmr:18 journal:8 processing:1 expansion:4 although:1 offset:1 standpoint:1 7th:1 permitted:1 integers:3 about:14 most:2 introduces:1 dependence:2 practical:2 range:12 larmor:1 introduced:4 bloch:27 cambridge:2 letters:1 previously:5 image:1 within:3 rotations:4 phase:1 spinors:1 etotal:2 prepare:3 initial:8 u0:1 long:2 sank:1 dispersion:10 joseph:1 handbook:1 way:1 was:4 propagator:12 synthesis:5 function:10 form:1 δkk:2 but:1 delta:1 ωy:36 ωx:16 ωz:8 applying:2 wish:5 variations:1 maximum:4 below:1 uk:7 demonstrate:1 distribution:2 define:2 similar:1 called:3 onclusions:1 required:1 defined:1 certain:2 abstract:1 generating:3 levitt:3 single:1 simulations:2 physical:3 again:1 functions:1 no:5 allow:2 when:4 ne:1 rewriting:1 field:5 other:1 spatial:2 imag:1 elements:1 excitation:6 models:1 khaneja:6 variation:1 prepared:1 important:1 bounded:1 prepares:1 building:1 implies:1 algorithm:3 interval:1 intentionally:1 tradeoff:1 time:5 everywhere:1 resolution:1
|
0705.2567.txt |@word partial:3 consider:2 mnp:3 crucial:2 magnetic:1 results:5 leads:7 gf:9 scalar:12 latter:1 consists:1 follow:1 expressions:1 prepotential:1 cases:6 whose:3 preserves:1 depend:3 aug:1 gˆ:3 pˆi:7 simplify:1 canonical:1 coincide:1 finally:3 program:1 manifolds:7 th:54 under:10 analogous:1 te:1 4nh:2 ın:16 belonging:1 string:2 preserved:3 φnp:3 implicitly:1 rise:1 hxk:1 ja:1 every:1 chamseddine:2 hatted:1 exact:1 condition:16 tri:1 symplectic:1 17th:1 exponential:1 presented:1 ers:1 solution:7 pullback:7 solved:8 convenience:1 vector:28 announced:1 dealt:2 indices:2 relation:5 zagermann:2 noted:1 configurations:14 jhep:10 mn:6 says:4 2gf:5 consistent:2 literature:1 integrability:5 progress:1 zanon:1 further:2 substitute:1 linear:7 bilinear:3 what:1 nonlinear:3 ˆt:1 appear:1 rate:1 brackets:2 giving:1 d2:2 section:12 supermultiplet:1 celi:4 above:3 hull:1 new:5 fayet:2 order:9 denef:2 method:3 themselves:1 3d:1 pioneering:1 iσj:2 iσi:1 full:2 simultaneously:3 ibid:1 respectively:4 component:8 γy:2 here:6 8g:2 following:8 objects:7 them:9 supermultiplets:1 groups:1 meet:1 active:1 path:1 along:4 principle:1 equations:57 appears:1 change:1 obtained:1 instituto:1 algebra:4 clarify:1 cern:1 shift:1 leaves:1 vectors:19 leaving:1 focusing:1 amount:1 products:1 leibnitz:1 poisson:1 action:6 conveniently:1 δq:2 spacetime:1 hyperscalars:6 involves:2 fujita:1 via:2 useful:1 projection:4 classification:1 gunaydin:2 explained:1 φs:1 highly:2 wit:2 sloane:1 total:1 2φm:1 derivatives:12 use:10 takes:1 would:2 prove:1 covariant:24 give:6 next:2 selfdual:3 γrs:4 nucl:10 explicitly:3 therefore:2 taken:2 generators:1 associated:1 metric:25 more:5 introducing:2 speaking:1 dˆn:1 coupled:6 composite:1 becomes:9 dxµ:1 factor:5 curvature:8 appendix:4 everywhere:2 tridimensional:1 particular:6 known:1 hole:2 effort:1 must:18 account:2 include:2 defines:2 η0i:2 dxn:1 6d:1 kaluza:1 equation:27 work:7 theories:11 infinitesimal:2 flm:1 mp:1 universe:1 pioneered:1 necessarily:1 ohashi:1 arrive:1 transforming:1 hk:8 asymptotic:1 compare:1 kaya:1 exterior:3 cosmological:1 do:4 calculation:1 discussed:2 cited:1 allowed:1 organized:1 dxr:1 sake:1 ready:1 dxm:1 uam:3 numbers:1 want:2 sense:1 dj:1 realization:1 gaugings:10 information:1 ib:1 end:2 goal:1 turn:1 papadopoulos:11 discussion:1 get:11 erratum:1 range:1 recovers:1 write:3 necessary:8 pure:4 ensure:1 hi:46 parameter:3 classify:1 map:16 product:1 description:3 singular:1 may:5 fy:1 after:3 derived:2 different:2 dx1:1 br:1 mac:8 produce:1 fi:3 summarize:1 meaningful:1 fn:1 δmp:1 δmq:1 stress:1 dα:2 imply:4 slightly:2 sp:1 explicit:2 correspond:1 su:48 st:1 φx:21 so:1 contributes:2 fundamental:2 definitions:3 ξi:2 playing:1 gµν:5 couplings:1 holomorphicity:1 cvetic:1 meessen:6 indeed:1 pointed:1 dy:1 di:1 satisfied:11 symbols:1 gauged:17 paper:2 including:1 motions:1 left:1 mentioned:1 existence:1 satisfies:4 still:5 its:3 derive:2 group:3 thank:1 fit:1 how:1 chosen:2 interesting:2 fix:2 solving:4 lj:1 coordinates:2 li:19 forms:11 argued:1 absence:1 according:5 choose:1 fij:6 mail:2 main:1 dyonic:2 supersymmetry:14 happened:1 correspondence:1 non:15 gaugino:1 combination:1 obtaining:1 martelli:1 gauging:9 introduce:2 each:4 gravitino:1 they:19 half:1 now:18 discuss:1 developments:1 ift:1 term:1 publication:1 fully:1 identified:1 2d:2 2f:4 2g:7 qx:3 found:7 entirely:1 side:2 education:1 constraints:3 gλi:7 spinor:14 differential:6 ei:22 covered:1 ek:1 ej:1 doing:1 quaternionic:15 related:5 conventions:3 2hi:1 contracting:2 extended:2 ey:2 ex:1 supersymmetries:2 our:3 happen:1 summary:1 eq:78 es:2 out:3 leave:5 df:4 network:1 rr:2 space:9 furthermore:1 since:6 lagrangian:1 research:1 fx:7 acting:5 unrelated:1 denoted:2 constants:3 induced:5 ref:21 correct:1 independence:1 pakis:3 gai:4 theory:9 aˆj:1 aˆk:6 singularities:1 ort:10 ısica:1 differ:1 standard:6 admits:1 manifestly:1 base:9 complicated:1 put:4 van:2 philip:1 e0:5 defining:1 definition:10 training:1 integrating:1 bates:1 2ωx:1 language:2 ministry:1 geometry:2 could:1 impose:7 ds2:2 gillard:1 motion:13 ahler:8 act:4 lµ:4 target:4 hence:2 hephacos:1 1c:1 undergo:1 support:1 first:12 already:2 symmetry:2 relate:1 variables:3 relations:1 number:2 clear:1 xy:4 done:2 construct:6 another:3 spanish:1 impossible:1 precisely:1 reall:3 constructing:2 given:17 long:1 checked:4 φkl:2 moduli:1 πs:1 introduction:4 leading:1 eqs:11 ebc:2 system:2 least:2 fia:1 πr:10 their:3 returns:1 fermions:1 tom:1 ordered:1 structures:2 bergshoeff:2 unbroken:6 fierz:4 allow:1 klemm:2 exactly:1 contribute:1 agree:1 λk:1 triholomorphic:1 part:9 values:1 rst:1 x0:2 x1:1 than:3 coefficients:1 iliopoulos:2 bµj:1 kind:1 determines:6 succeeded:1 characterizations:1 require:1 namely:2 charges:1 fermionic:1 future:3 tod:4 fˆ:24 were:9 toward:1 agata:1 ungauged:18 projections:7 bilinears:9 symmetries:3 basically:1 rewrite:1 footnote:1 lines:1 nonabelian:1 need:2 seen:2 seem:1 null:14 any:3 contents:1 lie:19 strength:8 δnq:1 δnp:1 zero:1 jxy:7 convenient:4 self:4 ubscher:1 mills:1 mechanism:1 instance:1 potential:10 take:7 timelike:9 2ηi:2 finding:4 ˆi:3 dxs:1 strengths:7 modulus:1 even:4 continuous:1 electric:1 gα:1 though:3 quote:1 measures:1 jorge:2 clearer:1 behrndt:1 metrics:2 algebraic:3 involving:2 kk:1 formulae:2 pair:1 comunidad:1 dreibein:2 why:1 overlooked:2 commutation:1 fjk:1 parametrize:1 consequences:1 characterizes:2 considered:7 kj:13 ki:69 sometimes:1 ghi:3 yang:1 rev:7 δmn:1 exp:1 analogy:1 constrain:1 usual:3 typically:1 fact:5 sector:3 show:2 text:1 supported:1 recipe:2 purely:1 spaces:1 gauge:53 solutions:19 substituting:4 d5:1 trivial:2 find:4 completion:1 gutowski:13 figueroa:2 based:2 knowledge:1 parameters:1 much:1 less:1 state:1 should:6 kse:2 only:25 going:10 black:3 summarizing:1 constituents:1 sierra:2 ϕx:6 covariantly:4 local:3 over:1 au:1 abelian:9 dl:3 his:1 ϕy:4 dk:4 notation:2 means:2 dependent:3 de:5 da:3 ones:1 dx:1 invariant:5 dv:4 dt:4 du:18 klein:1 dq:11 liu:1 ˆk:2 fields:10 arxiv:56 grav:10 3f:6 gran:11 forces:1 through:1 fixed:1 valid:1 view:1 satisfy:13 requirement:5 set:3 computed:3 reference:2 ricci:3 imposing:1 frame:3 ψµi:2 connections:5 differs:1 see:8 result:2 ebr:1 λj:3 jx:3 dµ:34 rmn:5 λi:3 points:2 affine:2 satisfying:5 tensor:8 matter:2 review:1 supergravity:22 xvi:1 written:5 determined:3 closed:1 simplest:2 αi:1 limit:1 enjoys:1 conditions:11 farrill:2 preserve:1 notice:2 triplet:2 terms:11 jy:2 extend:2 opening:1 adjoint:2 however:2 science:1 killing:42 cijk:15 csic:2 vandoren:2 4gf:1 embeds:1 configuration:9 tensors:1 undetermined:1 both:4 essentially:2 last:3 rajpoot:2 always:4 ϕz:1 many:1 taking:2 vanishing:8 contract:1 called:3 etc:1 connection:33 present:3 decompose:1 embedding:1 operating:1 expression:7 finds:1 0m:1 ch:1 cm:1 characterization:2 simple:1 lv:2 φpn:2 cf:1 dimensional:20 homogeneously:1 anti:6 nishino:2 respect:3 writing:1 gxy:27 considering:2 eµν:1 most:1 singlets:1 described:1 transformations:16 second:9 aˆ:1 computing:1 three:4 been:6 relying:1 defined:5 bianchi:10 gρ:1 expected:1 pk:8 pi:44 ak:7 define:4 susy:1 θi:2 supersymmetric:34 commutes:2 scalars:14 sufficient:6 great:1 jacobi:1 hmn:8 observe:3 vµ:2 systematic:3 derivative:24 worked:1 denote:2 spin:11 former:1 spain:1 case:30 hdu:1 eir:2 unlike:1 aiu:1 ǫj:6 ǫi:23 aiv:1 evaluated:2 transformation:13 will:7 euclidean:1 while:1 ar:1 replaced:2 aij:5 orica:1 properly:1 property:4 study:9 procedure:1 dλ:1 ix:1 2du:1 played:1 almost:2 endowed:1 refs:10 formulation:1 thus:8 hypermultiplets:10 iv:2 couples:1 characterize:1 vs:2 properties:2 dual:3 ia:8 mod:2 vanish:2 unaydin:2 acknowledgments:1 φr:12 constrained:1 φt:2 projector:1 grant:2 generic:1 φy:4 hxi:10 admit:3 same:11 clearly:1 shifts:2 antisymmetry:1 complex:3 quant:10 split:1 material:1 φi:1 φj:2 several:1 breaks:1 isometries:9 difficult:3 independent:16 used:8 assigns:1 upon:2 hand:7 parametrized:1 usually:1 moment:1 potentials:3 build:1 spinorial:2 identity:10 3gf:4 lower:1 nevertheless:1 adapted:2 variety:1 well:2 kallosh:1 analysis:1 ksi:1 without:1 solve:8 does:2 components:20 consistency:4 coordinate:5 model:1 eu:1 know:2 isometry:2 unified:1 manifold:18 just:6 cantoblanco:1 being:1 caldarelli:2 identically:1 obtain:5 actions:1 2nh:1 cucu:2 transforms:5 using:11 quaternions:1 multiplet:2 alternative:3 yet:2 previous:5 2gα:1 painful:1 ads:1 generator:1 conclusions:3 point:1 seems:2 proeyen:2 realize:1 parts:3 concerns:1 lett:8 easy:1 jong:1 apart:2 remaining:1 momentum:16 generalized:1 identical:2 tomas:1 dφx:3 depends:5 alternatively:2 rules:4 multiplets:7 iγ:1 possible:3 dφr:1 vγ:1 ciencias:1 immediately:1 vν:1 ǫmnpq:1 supergravities:2 generated:2 theor:1 imposed:2 like:1 systematically:2 follows:2 δt:1 performing:1 substitution:1 translates:1 separately:2 bps:1 continue:1 yields:3 starting:1 arbitrary:6 become:1 composites:1 works:2 stationary:1 satisfactory:1 representation:2 methods:1 classical:3 madrid:2 gauntlett:5 some:6 φmn:3 fixing:2 examples:3 ijk:7 exists:1 nonzero:2 lead:2 esp:1 φpq:2 whole:1 ωm:3 imposes:1 decomposition:3 expressing:1 assuming:2 prog:1 steps:1 minimal:4 refer:1 dimensionally:1 bc:2 equivalent:6 2c:1 aj:11 bi:13 bj:1 step:1 although:2 accompanied:1 relating:1 super:1 between:5 simpler:2 carried:2 constraint:5 dˆ:10 freedom:1 basis:1 introduces:1 dependence:1 o:11 remains:1 aˆi:28 ceresole:1 plus:3 hix:6 together:6 andez:1 consequently:1 projectors:2 automatically:7 fern:1 sezgin:1 contains:5 real:4 christoffel:1 inclusion:1 maxwell:10 into:8 good:1 ηk:1 ηj:4 ηi:10 due:1 pullbacks:2 right:2 references:1 determine:6 einstein:5 operator:1 proportional:4 reducing:1 bosonic:4 physical:1 sabra:4 spinors:8 townsend:2 hep:54 additional:3 her:1 few:2 assumed:1 strictly:1 there:7 transform:2 kses:2 u2:1 start:4 ψi:3 facultad:1 sugra:1 way:3 mappings:5 was:11 ortin:1 function:1 considerably:2 σj:1 complete:3 form:37 enough:2 reduce:1 but:8 hj:14 pj:8 construction:5 hl:1 larger:1 line:1 eb:1 true:1 2hx:1 partially:3 ωx:6 made:3 algorithm:2 embedded:1 understood:2 variations:1 up:3 us:8 dφ:3 projecting:1 those:7 doors:1 fαβ:1 problem:3 similar:1 laplace:1 ac:1 ab:2 constant:11 3fx:1 flat:1 ai:24 abstract:1 describe:3 am:4 proven:2 general:12 ap:1 dν:11 pˆ:9 rule:2 relates:4 corresponding:2 pis:1 identities:16 check:3 constructed:4 nh:6 again:4 functions:11 completeness:1 no:1 extract:1 whereas:1 nd:1 vanishes:2 field:18 other:10 role:1 special:3 spatial:38 roest:8 er:3 concerning:1 nv:3 conclusion:1 briefly:2 dall:1 class:11 stringy:1 deriving:2 commutator:2 meaning:2 important:2 log:3 cacciatori:3 φqp:2 structure:8 dηi:1 implies:11 coupling:5 uncoupled:2 dω:4 assume:2 physics:1 rs:8 holes:1 2bα:1 dρ:4 rxy:1 itself:1 implied:3 time:9 requires:3 having:4 once:2
|
0705.2568.txt |@word restates:1 interference:1 magnetic:1 yellow:3 four:5 consists:3 whose:14 aug:1 under:2 impinges:1 barium:1 rise:1 every:2 affect:1 school:1 vector:14 commented:1 coordinate:2 consistent:2 pulse:4 scrutinize:1 7th:1 even:4 ˆa:2 above:5 new:3 ˆk:3 ever:1 consisting:2 counters:1 coefficient:1 agreement:2 simultaneously:2 residual:1 here:6 atoms:4 asymmetry:1 active:1 path:2 obtained:1 property:4 rests:2 study:2 divide:1 spooky:3 explained:3 highly:1 brought:2 visible:2 stern:5 counts:1 total:2 linearly:2 would:11 negative:1 therefore:5 violently:1 successful:1 ascribe:1 odinger:3 aware:1 correspondingly:4 must:3 me:1 setup:11 work:1 theories:3 example:6 indicated:2 give:1 organized:1 caution:1 want:1 feasible:1 guarantee:1 end:1 hoc:1 provide:2 travel:1 feature:2 how:1 answer:1 ordinary:1 gordon:1 description:1 after:10 law:1 parallel:6 attempt:1 effective:1 fictional:1 fictitious:1 ultimate:2 correlation:17 order:1 interpretation:3 over:11 london:1 before:5 distinguishing:1 fig:8 hidden:7 eventually:1 them:3 similar:5 academics:1 effects:2 they:10 represents:6 netherlands:1 kurtsiefer:1 each:15 side:19 principles:1 literature:3 magnets:2 clauser:2 laboratory:3 message:2 silvered:1 superscripts:1 driving:1 gradient:1 crucial:1 particles:21 reader:1 foundation:5 linear:4 little:1 free:2 standard:1 checked:3 detecting:1 wanted:1 enormous:1 r1:4 r2:4 filter:1 uses:1 already:3 researcher:1 primary:1 channels:6 another:6 electronic:1 illustrate:3 rewritten:1 similarly:4 eqs:7 rates:6 too:1 john:2 centered:1 albert:2 speakable:1 distance:10 zero:6 seminal:2 rewrite:1 spectrum:1 seen:2 seem:1 unaffected:1 forced:2 absorber:1 harper:1 latter:8 metallic:1 oriented:2 absorbed:2 transmit:1 shall:5 simplify:1 germany:2 letter:1 phase:3 torsional:1 detectors:3 points:2 responded:1 reprinted:1 random:6 colors:1 radio:2 gerlach:5 d2:13 d1:15 resemblance:1 explain:3 summarizing:1 integrate:1 plate:3 de:1 uniaxial:2 despite:1 runs:1 microscope:1 nγ:3 permittivity:1 traverse:1 reference:3 detection:1 result:10 discussions:1 subject:3 inappropriate:1 away:1 symmetric:1 approach:5 accord:2 terms:5 nature:1 however:5 equals:1 wr:1 c22:1 essentially:2 c21:1 irregular:3 ill:1 uncertainty:2 hertzian:1 against:2 faces:1 contribution:1 argue:1 appeared:1 character:2 equations:3 three:1 been:11 much:1 interest:1 entered:1 refuted:1 indeterminacy:1 quantities:4 coincides:2 spin:17 tanh:2 originate:1 excited:1 applies:6 balance:1 cylinder:1 iv:2 ii:4 characterize:2 ik:2 cone:2 conk:1 confirmed:1 perform:1 make:4 split:1 plates:2 independent:4 trajectories:3 counterparts:1 hand:13 normalization:1 epr:2 contact:1 possesses:1 left:10 just:7 rotated:2 identify:2 scattering:1 yet:2 previous:5 adding:1 enters:1 monitored:7 had:1 evanston:1 evidenced:2 possible:3 spanned:4 zukowski:1 replace:1 unfounded:1 occurring:1 performing:1 unnecessary:1 intermittently:1 steps:2 follows:6 signal:4 right:13 hindsight:1 technischen:1 born:2 denies:1 electromagnetic:4 opposite:9 exposition:1 unit:6 arbitrary:1 oscillating:1 substituted:1 properties:2 o:1 probabilities:6 ensure:2 spins:4 connected:3 considerations:4 bound:1 down:10 lies:3 cones:2 indispensable:1 tennis:1 width:1 conservation:1 way:3 was:2 form:6 forming:1 differences:2 denoting:1 true:4 maximum:1 crystal:6 simplifying:1 emit:1 passenger:1 later:1 proved:1 conserved:1 dλ:1 physical:5 nk:2 nm:1 locality:4 na:2 wavefunction:1 when:10 reality:4 setting:1 role:1 test:1 picture:1 preceding:1 uniformly:2 variable:6 ballentine:2 oscillates:4 longer:1 assume:4 interval:1 together:2 time:9 quantity:3 leads:2 supplement:1 row:1 devoted:1 depend:2 technique:1 analogous:3 orthogonal:8 frequencies:2 choice:1 emphasized:1 exact:2 turns:1 magnet:2 coincidences:1 equation:2 occurrence:3 oscillation:1 dealing:4 prediction:1 cosh:1 substitute:2 stands:1 uniform:1 goes:2 clausthal:2 understanding:2 cos2:14 groups:1 address:1 along:12 appears:3 change:1 incoming:9 shift:1 vectors:3 commonly:5 studies:1 regardless:1 prefer:1 marked:1 traversing:1 rarely:1 planck:1 prove:2 predictions:1 going:2 opposed:1 today:1 unwarranted:1 introducing:1 entrance:3 apparent:1 validity:3 capturing:1 valued:2 originally:1 oscillator:1 believes:1 labeled:1 values:2 following:2 modifies:1 arrive:1 numbers:1 claim:1 mirrors:1 predict:1 counting:1 hydrogen:2 monitoring:3 strikingly:2 criterion:1 parameter:4 divides:1 product:2 may:13 designed:1 correlate:1 beam:26 ghz:1 cascade:1 so:7 sb:3 sa:5 typical:2 wavelengths:1 breaking:1 displayed:1 years:3 experiments:17 statistical:4 argued:1 derive:1 forms:2 constitutes:3 non:11 thereby:2 etotal:2 half:3 arriving:1 now:6 widespread:3 possess:1 term:3 equality:1 realist:1 realistic:1 quarter:1 realism:2 domain:1 ei:1 fired:1 ed:2 ea:2 eb:2 fires:1 assumption:8 eq:14 living:1 shown:7 space:6 furthermore:4 inadequacy:1 squares:1 correct:2 theory:15 possibility:1 besides:1 institut:1 e1:3 e2:2 advance:2 derivation:2 transition:4 motion:3 place:2 massive:9 support:1 first:7 origin:1 question:3 variables:2 vacuo:1 kafatos:1 long:2 carry:1 array:1 open:1 angular:3 size:1 given:8 eγ3:2 eγ2:12 eγ1:9 theoretische:1 indicate:2 white:3 mostly:1 transverse:2 than:3 coefficients:1 transferred:1 were:1 impinge:1 outcome:1 register:1 ann:1 turned:1 argument:2 say:1 weinfurter:5 any:8 conversion:2 equipment:1 potential:2 online:1 coincide:2 channel:15 sure:1 fundamental:4 normal:10 track:1 ıve:2 incidence:1 pair:7 beth:2 inserted:2 considered:2 average:3 eprb:9 implications:1 laws:1 show:2 supposition:1 inconsistent:1 ground:1 ensembles:1 state:13 only:22 explicitly:1 viewpoint:1 get:1 expectation:2 cannot:6 gen:1 secondary:6 podolsky:3 yield:4 scientist:1 roger:1 predicted:2 discussing:2 gottfried:1 relative:2 uncorrelated:1 violates:1 commutation:1 review:1 definite:5 behind:1 between:6 prentice:1 across:1 arrival:1 vertical:2 screen:1 article:10 come:1 ja:1 σb:3 σa:3 according:3 σz:4 σy:4 expression:8 comes:1 color:4 pol:3 associated:16 considers:4 considering:3 detected:4 direction:15 photon:76 borate:1 fortschr:1 observe:1 coherently:3 spirit:4 those:3 case:8 cast:3 many:1 situation:1 eik:2 interconnected:1 orientation:3 middle:1 superconducting:1 different:5 erroneously:1 propagation:11 circularly:2 same:12 events:6 pan:1 extended:1 singapore:1 companion:2 running:1 entanglement:7 modes:1 no:10 without:4 components:1 trains:8 very:3 termination:1 model:1 charged:1 being:1 rest:1 ch:1 aspect:9 renewed:1 photons:62 seems:1 except:1 instrument:3 lets:1 treatment:1 versa:2 momentum:5 real:3 around:3 rules:2 decomposed:1 preference:1 vacuum:3 using:2 decomposes:1 mod:1 englewood:1 particle:25 twin:1 facing:1 chamber:1 either:5 always:3 malus:1 reduced:1 conditional:1 conventionally:1 critical:2 decomposition:1 propagating:3 refer:7 measuring:1 scientific:1 standpoint:2 refers:3 stations:4 discussed:6 mutually:1 wolf:1 act:1 shifters:1 cambridge:6 instruments:4 determine:3 einstein:9 operator:2 england:1 assumed:1 strictly:1 there:16 start:2 decisive:1 complete:6 vanishing:2 philosophers:1 recoil:3 applying:1 ωk:6 agree:1 detailed:2 ad:1 certain:4 ak:1 describe:4 ensuing:2 corresponding:5 intra:2 again:7 completeness:1 rosen:2 field:21 briefly:1 includes:6 deriving:1 strings:5 represent:3 consider:1 founded:1 expressions:4 reasoning:4 causes:2 content:1 referring:1 removal:1 stochastic:1 norm:1 amplitudes:1 far:3 ultraviolet:1 hewlett:1 difference:2 splitter:8 complexvalued:1 large:3 small:2 past:3 rate:4 doppler:1 further:2 functioning:1 subscripts:1 what:5 invoking:1 section:13 intersect:1 contrast:3 edited:3 schilpp:1 full:2 component:3 tracks:1 disastrous:1 directions:9 observing:1 conviction:2 allows:2 action:6 narrow:1 uniquely:1 eˆ:1 vii:1 polarizers:8 analyzing:2 thought:9 viz:3 extinction:1 takes:3 distinct:2 contains:4 taken:1 veltman:1 more:5 door:1 knows:1 ejected:2 emission:3 basically:1 particular:4 mounted:1 exposing:1 der:1 spontaneous:1 stated:3 states:5 attain:1 sense:2 lacks:1 axis:19 respective:8 rather:3 acts:1 ensemble:2 simplicity:2 sophistication:1 reflect:1 plane:35 waves:2 derives:1 short:2 preferential:1 twisting:1 departure:3 negligible:1 shade:1 essence:1 fraser:1 soon:2 held:1 paper:1 through:6 filters:1 existence:1 its:18 termed:3 polarizing:7 unity:5 actually:4 absence:1 systems:2 travelling:2 might:1 good:1 number:1 framework:1 fully:3 inequality:6 universit:1 referred:3 heavy:1 tilted:1 weight:1 generation:2 energy:10 positioned:1 idea:4 obtains:3 measurement:13 quantum:38 leave:1 since:11 denotes:6 acting:1 denoted:1 mattle:1 issue:1 densities:6 fiber:2 belief:2 extraordinary:1 members:1 put:1 pairs:28 recast:1 4p2:1 probability:19 relate:1 reflected:11 introduction:2 twenty:1 interact:1 station:10 passed:2 penetrates:2 statement:2 part:2 authors:1 sign:1 unrealistic:1 kind:1 polarized:6 annihilation:1 determined:3 intensities:2 polarizer:14 toward:4 traveling:1 electrodynamics:1 idler:3 lie:3 interconnection:1 analogy:3 obviously:3 finding:9 electric:14 reach:1 singlet:3 most:6 nothing:5 measured:5 appear:1 popularity:1 cover:1 optical:5 electrons:2 velocity:1 physics:3 lying:3 particularly:1 phenomenon:1 find:1 parameters:1 distributed:2 assertion:5 factor:7 circle:2 his:10 notation:2 meanwhile:2 beams:12 adheres:1 closely:1 combinations:1 during:2 ϕa:13 ϕb:8 arxiv:1 common:3 obscure:1 set:12 plausible:1 see:1 individual:6 dipole:3 various:1 contrary:2 numerous:1 recently:1 statistically:2 complementary:1 attention:1 incident:1 both:4 cubes:5 sensitive:1 connection:2 context:1 finds:1 experimental:5 pendulum:1 bell:25 simple:1 coincidence:7 dimensional:1 simply:1 kiesel:1 ensures:1 described:4 inadmissible:1 describes:4 ph:2 lett:1 flight:1 fire:2 convert:1 recalled:1 folklore:1 p1:4 pacs:1 ǫk:2 straight:1 replaced:3 behavior:2 resolved:1 century:1 vol:1 averaging:2 reads:3 mott:1 vanish:1 fermion:1 currents:1 sizeably:1 belong:1 emphasize:1 modification:1 used:8 optic:2 moving:1 purpose:2 recent:3 analysis:2 picks:1 consistency:1 parametric:2 shape:1 atomic:1 world:2 kluwer:1 conclusions:2 excites:1 exclusively:1 signals:3 source:13 questioned:1 theorem:2 remaining:1 build:2 entangled:10 integer:1 sorting:2 pertinent:1 semi:1 shaped:1 admittedly:1 interestingly:1 translates:1 yields:6 popular:1 essential:1 terminology:1 often:1 creation:1 some:9 back:1 mirror:4 photomultipliers:1 describing:1 measurements:1 integration:1 behave:1 tends:1 run:1 perpendicular:7 bs:2 dictated:1 inter:1 tracing:1 deserves:1 range:2 consequently:2 plethora:1 into:21 within:9 proportional:1 span:4 few:1 u1:3 fast:1 u2:2 forward:3 conceivable:1 sections:2 ator:1 registered:1 repeatedly:1 atom:5 line:13 considerable:3 consist:3 uv:4 up:22 ur:1 planes:5 ud:1 ua:7 called:2 ub:7 sometimes:1 constant:4 defined:7 likewise:4 influence:1 single:3 associates:1 pˆ:67 defines:1 bouwmeester:1 puzzling:2 amounts:1 conceptions:1 definitely:6 explaining:1 elements:1 generates:2 prepared:2 generated:1 correlated:21 implies:2 vice:2 diffraction:1 correlates:1 requires:1 having:1 once:3 results:1 existing:1 go:2 eγ:34 include:1 indicating:1 confirmation:1 continues:1 wave:45 electron:3 implausible:2 matrices:1 magic:1 transmission:5 deals:2 manifestly:1 optics:3 encloses:2 smaller:2 sin2:10 jump:1 gmbh:1 enclosed:1 incidentally:2 greenberger:3 giving:1 analogously:1 henceforth:3 experiment:27 3n:1 justification:1 led:2 degree:1 respectively:11 teleportation:9 believed:4 separation:1 great:1 indivisible:1 larger:1 leaving:1 suggests:1 preferentially:1 resulting:1 opinion:1 birefringent:2 makes:3 apply:1 use:5 remains:3 process:3 depicted:1 doubt:1 exhaustive:1 reflects:2 formally:1 becomes:5 eibl:2 train:24 iii:3 integrating:1 obvious:2 averages:2 proof:1 control:1 do:3 calculation:1 slit:1 assumptions:2 instead:1 4s2:1 sin:19 circular:1 bourennane:1 physik:2 grangier:1 realized:1 eight:1 light:7 counter:1 lines:3 correspond:1 element:2 subsequently:1 lined:1 horne:3 astronomical:1 move:2 interpreted:2 pulses:1 perfect:2 horizontally:1 choose:1 defining:2 auto:1 polarizations:4 practice:1 mention:1 front:4 rotation:1 articles:2 university:3 sufficiently:5 transmitted:7 mode:1 disregard:1 frequency:3 our:25 out:5 fundamentally:2 integrates:2 rev:5 performs:1 electronics:2 cause:1 completely:9 york:1 monographs:1 interaction:1 could:2 times:1 counterpart:2 length:2 hence:22 retain:1 repeats:1 reaches:1 precisely:1 bears:1 unknown:2 system:6 their:13 exactly:3 regards:1 observed:1 amplitude:7 clearly:8 viewed:2 angle:28 mechanism:4 polarization:33 schematically:2 detector:13 unless:1 who:2 propagate:2 device:1 deny:1 neutral:2 face:2 mechanical:5 superscript:1 fact:2 purely:4 superimposed:1 agrees:1 decade:1 principal:6 based:4 should:6 local:14 hall:1 cube:1 means:9 familiar:1 impinging:3 joint:3 joins:1 penetrate:1 unjustified:1 qt:1 differential:1 comprising:1 enclose:3 fixed:5 view:2 exists:1 problem:1 frame:1 packet:1 differs:4 racket:1 closer:1 missing:1 favor:1 written:1 semitransparent:1 neither:1 emitted:9 efficiency:1 hypothesis:1 key:1 emitter:1 instant:1 taking:1 equal:4 etc:1 passing:1 jersey:1 comment:1 splitters:4 unclear:1 author:1 ca:2 leipzig:1 respect:2 bbo:4 second:3 addition:2 trajectory:1 define:2 controlled:1 sufficient:1 cos:63 zeilinger:5 angles:6 c2:4 c1:4 present:1 multi:4 value:3 will:13 almost:1 vi:2 thus:3 vs:1 sequentially:1 cross:2 φa:32 φb:28 parts:1 pauli:1 finite:1 material:6 absorb:2 logic:1 effect:2 schr:3 reflection:6 well:9 bohm:1 exceedingly:1 position:7 drawing:4 less:1 obtain:5 mistaken:1 distant:1 momenta:1 density:4 absorption:5 point:5 discuss:7 reasons:1 slits:1 attractive:1 identical:3 disappearance:1 know:2 press:3 intersection:1 insert:1 like:3 halfwave:2 alternatively:2 loses:1 zitterbewegung:2 become:1 exhaustively:1 because:6 dordrecht:1 classical:13 phenomena:1 library:1 recognition:1 happens:1 lead:2 philosopher:1 instantaneous:1 does:4 assuming:4 demonstrated:3 slight:1 although:4 cγ:5 gained:2 about:3 cliffs:1 actual:1 carried:2 universe:1 certainty:3 dependence:4 recognized:1 recognizes:1 introduced:3 outset:1 keeps:1 attains:2 additional:1 transfer:1 justifying:1 quanta:1 function:2 but:12 volume:2 repeated:1 contradictory:1 delivers:1 he:9 count:8 made:1 packard:1 whether:2 smooth:1 placed:1 converted:1 demonstrate:5 distribution:3 display:1 mechanics:9 universal:1 meaningless:1 denote:3 interchanged:1 wavelength:4 reflecting:1 functions:4 other:13 hpc:1 conclusion:4 quartz:1 chance:4 stirred:1 coupling:1 factors:2 4s:1 4p:1 original:3 unspeakable:1
|
0705.2569.txt |@word magnetically:3 limited:1 externally:4 since:2 allowed:1 consider:1 switched:1 gupta:1 caused:2 magnetic:53 excellent:1 dynamic:1 splitting:1 four:1 gf:2 code:1 sweep:1 consists:3 systematic:2 research:3 gh:1 polarity:1 feeding:1 shevchenko:1 calculate:1 collisions:1 iii:2 technique:2 removal:1 supported:1 contract:1 finally:1 program:1 onderzoek:2 contours:1 th:1 under:2 cm3:1 tc:11 ta:1 case:2 probe:4 g3:2 orthogonal:1 far:1 frequencies:11 conditions:1 geometrical:1 non:4 every:1 resonant:6 experimentally:1 continued:1 condition:1 cool:2 leads:1 clouds:1 ωth:5 presented:1 turns:1 anisotropy:1 mirror:1 correct:1 magnet:14 excellence:1 demonstrated:1 science:2 small:4 optics:3 der:3 application:2 ejection:1 microtraps:1 hommelhoff:1 direct:1 pulse:2 hannaford:1 surrounding:1 nbi:1 design:2 pass:1 further:2 copenhagen:1 estimated:3 quite:1 spectral:4 errors:4 trapping:7 rate:8 section:1 evaporative:10 while:3 thickness:1 current:6 axial:12 experiment:4 suspect:1 above:7 waals:1 supplies:1 sidorov:1 method:3 filled:2 movement:1 body:3 magnetometry:1 full:1 microtrap:2 degree:1 respectively:4 component:2 residual:2 here:3 atoms:33 desired:2 decay:2 compressed:2 address:3 alone:2 ratio:3 along:1 diagnostic:1 respect:2 change:1 obtained:4 arc:1 colored:1 institute:2 shift:2 study:1 larger:1 allows:2 commonly:1 zener:3 miniature:1 formation:1 narrow:3 wetenschappelijk:1 composed:1 f0:5 via:1 followed:1 stray:1 suddenly:2 reichel:2 planar:1 acknowledge:1 brought:1 uger:1 addressed:1 aimed:1 condensates:2 apply:2 tools:1 planck:1 manipulate:1 readily:1 plot:1 conventional:1 schumm:1 polylogarithm:1 waveguides:1 remains:1 contains:1 tightly:1 calculation:1 mation:1 approach:1 denmark:1 taken:7 themselves:1 theoretical:1 reflects:1 more:3 separated:1 lowering:1 outputs:2 corrected:1 about:2 glass:1 carrying:3 observing:1 particular:2 antennas:1 mounted:1 producing:1 states:1 mg:2 mf:6 wittig:1 organization:1 mm:3 avoiding:1 setup:1 averaged:2 mk:1 assumptions:1 obvious:1 temperatures:7 ms:9 already:2 cond:1 root:1 example:1 proof:1 control:2 compare:3 onset:3 indicated:1 give:2 process:6 attribute:1 chip:28 preserving:1 high:4 collision:1 minimum:10 chin:1 performed:3 gerritsma:4 uncompensated:1 weaken:2 end:2 decaying:1 provide:2 holds:1 ultracold:6 chemical:4 necessary:3 nontrivial:1 lift:1 resolution:4 pure:5 spinflip:2 instead:2 strong:1 mar:1 mat:1 replacing:1 after:8 derived:5 different:2 plane:2 designed:1 fits:2 data:2 helmerson:1 efficiently:3 realized:2 short:1 following:1 onto:1 combining:1 spectra:14 lines:8 correspond:1 rather:2 accelerated:1 maintain:1 upside:1 allow:2 subsequently:2 order:2 boseeinstein:1 martin:2 help:1 numbers:1 over:8 move:2 mainly:1 installed:3 produced:6 thermal:3 experiments:1 through:3 kinetic:1 suffer:1 ωrf:5 before:1 rapidly:3 fit:1 located:2 interesting:1 fix:1 pritchard:2 spreeuw:2 permanent:30 fig:23 rabi:2 decreased:1 main:1 image:2 overcome:1 eur:1 measurement:1 designs:1 hawthorn:1 greater:1 combination:3 gray:2 prevented:1 material:1 introduce:1 landau:3 quantenoptik:1 detunings:2 effects:1 they:2 closer:1 feature:1 hall:1 netherlands:2 vitanov:1 fully:5 university:2 identified:1 possibilities:1 merge:1 trap:68 radial:5 found:3 2n:1 side:1 calibration:1 mean:3 homogeneous:2 square:1 financial:1 quadrupole:3 series:2 magneto:1 positioned:1 used:13 mm2:1 challenges:1 frequency:27 magnets:2 measure:3 quantum:2 our:6 lithography:1 transitions:1 eq:6 out:2 ketterle:1 large:4 shown:10 ejecting:1 kieu:1 space:2 gradient:2 furthermore:1 surrounded:1 interference:2 fept:1 may:1 rf:15 conclusions:1 rb:1 integrated:1 red:2 shows:1 foundation:1 turning:1 linear:2 barrier:3 maintains:1 free:3 standard:1 difficulty:2 base:1 advantages:1 imaging:5 institut:1 hand:1 finite:4 compression:1 pairs:1 spill:1 geometry:1 glued:1 could:2 transition:9 thermometry:1 voor:2 times:2 turn:1 produce:5 iso:1 isotropic:1 magn:2 approaching:1 relays:1 substrates:1 first:1 eu:1 corrugation:3 note:2 sinclair:1 probability:4 prevent:1 feel:1 causing:1 number:8 xe:1 done:1 long:1 another:2 impossible:1 thick:1 precisely:1 electronic:1 several:2 biasing:1 size:4 given:1 temperature:18 likely:2 indicate:2 introduction:1 condensate:13 approximately:3 retreats:1 their:1 cooling:11 appl:2 ballistic:3 too:1 calculations:2 zeros:1 ordered:1 structures:3 final:16 gives:1 danish:1 becomes:3 trapped:6 took:1 prediction:1 optical:7 kept:1 than:4 traps:2 wide:1 bec:11 zero:7 ranging:1 matter:1 computer:2 nederlandse:1 assume:2 amplitude:2 were:2 result:2 lowest:1 turned:8 spectrum:8 yielding:2 mater:1 substantial:1 need:1 seen:1 any:1 relatively:3 forced:3 strength:1 mapping:1 efficient:2 self:7 responsible:1 gravity:2 mechanism:1 oriented:1 instance:1 fitting:3 potential:13 take:1 ramping:2 green:1 modulus:1 switching:3 blue:3 added:1 fundamental:1 centre:2 probed:1 victoria:1 insets:1 most:2 optimized:1 satisfying:1 connected:1 but:1 significant:3 preliminary:1 phase:4 coil:3 measured:3 patterned:1 kb:3 ka:2 observation:1 eject:1 calculated:2 neutral:1 graphs:1 part:3 principle:2 velocity:1 physics:1 width:2 fact:2 incorporate:1 show:2 detection:1 mains:1 evaporation:9 bring:1 radio:24 solutions:1 earth:1 uniform:8 trivial:1 find:2 shield:2 cell:1 unther:1 based:7 parameters:2 negligible:1 should:1 factor:3 integrate:2 helmholtz:4 partially:2 local:1 accurate:1 achieve:1 dn:3 do:2 dk:1 untrapped:1 distance:1 dekker:1 beams:1 between:1 cannot:2 nearly:5 during:18 dt:2 chips:4 platz:1 secondary:3 adiabatically:1 extract:1 substrate:1 densities:1 fields:20 druten:1 arxiv:2 acknowledgments:1 paper:1 mewes:1 double:1 hysteresis:1 including:1 valid:1 view:1 magneton:1 exists:1 achieved:1 acquired:1 condensed:2 up:1 observed:6 barb:2 projections:1 operated:1 close:7 incorporating:1 techniques:4 surfaces:2 coils:7 still:1 away:4 materials:2 µm:10 state:1 esslinger:1 various:3 µk:7 becs:1 hold:1 corresponding:3 µb:2 available:1 sections:2 ends:1 vertical:1 nature:5 weak:1 however:4 gratefully:1 loading:22 organisatie:1 ramps:1 probing:2 bose:9 spark:1 configuration:1 relying:1 originates:1 restrictions:1 kr:1 last:2 limits:1 fitted:1 density:12 ramp:3 heating:4 zeeman:3 merging:1 jo:1 und:1 dated:1 disappears:1 otherwise:1 load:5 minima:3 adjusted:1 cm:4 point:2 simple:1 harmonic:1 height:1 dimensional:3 directions:2 anti:4 right:1 loaded:2 throughout:1 points:1 belt:1 broadening:1 complication:1 light:2 described:3 addition:1 trajectory:3 create:1 due:5 been:4 ansch:2 reduction:3 production:2 basic:1 anisotropic:2 improve:1 empty:2 choose:1 direction:5 arises:2 flight:1 both:1 am:1 sufficient:1 gas:1 observe:8 external:7 decompressed:1 eventually:2 spin:3 present:3 applied:3 laser:2 pacs:1 solid:3 oding:1 expanded:2 value:2 pixel:2 employ:1 technical:1 near:3 reliably:1 stichting:1 noninteracting:1 procedure:4 aluminium:1 mrtn:1 coupled:1 vi:7 squid:1 thus:2 them:1 surface:13 iv:3 ii:6 characterize:2 superconducting:1 bias:3 confining:1 against:1 lifetime:1 technology:1 situ:1 currents:1 increased:1 wissenschaften:1 containing:4 ing:2 detune:1 perform:1 cross:1 same:2 complex:1 emphasize:1 avoids:1 figures:1 valckenierstraat:1 higher:2 independent:3 wires:3 numerical:2 akademie:1 moving:2 potentials:5 mot:2 tune:2 cycle:1 lower:1 off:10 center:3 minimize:2 expression:2 vacant:1 well:7 analysis:4 bohr:2 patterns:1 directly:1 without:9 components:2 simulated:1 very:1 position:5 model:6 xing:2 latter:1 left:3 lowers:1 magnetization:4 quoted:1 less:2 proximity:1 mol:3 obtain:10 rest:1 sources:2 identify:1 atomic:9 aspect:1 immediately:1 xdirection:1 alternative:2 speed:1 adv:1 adding:1 fernholz:3 cut:1 signal:3 generator:1 tight:1 absorption:11 character:1 drawback:1 source:1 setting:1 location:2 constant:2 suominen:1 remaining:2 momentum:1 opt:4 australia:1 march:1 around:2 evaluate:1 innsbruck:1 online:2 results:5 possible:8 corresponds:5 increases:1 background:1 vacuum:1 confined:1 using:10 bit:1 advanced:1 mod:1 coarseness:1 loss:10 appearing:1 lost:2 shaped:2 alternatively:2 reduces:1 adiabatic:3 austria:1 niels:1 agreement:1 chamber:1 mhz:7 integrals:1 always:1 reduced:3 making:2 function:2 because:4 sequence:1 fundamenteel:1 towards:3 table:1 images:7 advancement:1 transport:1 dense:1 lead:1 collect:1 leak:1 avoid:3 measurements:1 integration:1 whitlock:2 does:1 cnc:1 assuming:2 ott:1 steps:1 ct:1 knife:1 majorana:1 biased:6 noise:9 coated:1 power:2 reveal:1 each:2 use:3 expansion:9 burt:1 although:4 zimmermann:1 falls:1 bx:1 bz:3 stage:5 conducting:1 central:1 bimodal:6 freedom:1 boltzmann:3 o:1 range:2 swinburne:1 spread:1 act:1 tighter:1 efforts:1 introduced:1 bloch:1 confidence:2 peak:6 soc:1 rev:18 fraction:1 into:5 numerically:2 three:5 down:2 pair:2 lensing:2 determine:1 einstein:9 effort:1 amsterdam:2 sufficiently:1 significantly:2 rely:1 statistics:5 van:3 additional:5 area:1 transfer:5 support:1 initial:2 specifically:1 start:1 much:1 low:1 way:1 analyze:1 was:9 energy:5 synthesis:1 hz:4 complete:1 boyd:1 enough:1 folman:1 agrees:1 gauss:1 sophisticated:1 expected:2 cloud:44 land:1 heuristic:1 atom:25 ioffe:10 line:1 inverted:1 hf:1 considerable:2 versatile:1 longer:1 made:2 applying:3 consist:1 arrays:1 de:1 variations:1 flip:3 devices:1 ur:1 work:2 placed:3 below:6 overlapped:1 spectroscopy:9 pumped:1 distribution:15 similar:1 fractions:2 khz:12 interval:3 associated:2 describe:6 moved:3 expands:1 inferred:5 duration:1 proves:1 exist:1 partly:2 gradients:1 moves:1 distributions:2 ansel:1 compared:1 color:3 us:2 materie:1 no:2 dashed:7 whereas:1 when:3 detail:1 field:49 other:2 digital:1 patterning:1 erosion:1 deviate:1 conclusion:1 optically:1 perpendicular:1 quartz:1 nonlinearly:1 energetic:1 separate:1 problems:3 chem:1 spectrally:1 evaporatively:2 foil:1 important:1 allowing:1 suited:1 transfers:1 needed:2 structure:5 condensation:9 coupling:1 controlled:4 requires:2 bottom:6 curve:1 together:2 depth:3 confinement:3 useful:1 time:4 push:1 ultrafast:1 m3f:1 starting:1 lett:7
|
0705.2570.txt |@word limited:1 crampton:1 ciao:2 yellow:1 four:1 facilities:1 consists:1 aug:1 ergs:5 under:1 cm3:2 downstream:1 upstream:1 grevesse:2 heasarc:1 ups:1 consistent:4 estimates:2 pulse:3 approximation:1 surrounding:6 likely:6 tangential:1 qualitatively:1 estimated:7 blue:2 errors:1 nei:2 bipolar:1 above:8 new:7 shocks:3 bi:1 here:7 ionization:1 reported:5 active:1 path:2 obtained:1 study:3 changed:3 reports:3 zickgraf:1 adopting:1 changes:3 blackbody:1 diameter:1 explained:1 visible:2 counts:22 total:7 univ:2 would:6 therefore:6 drechsel:1 type:4 composite:2 curvature:1 aligned:1 blocking:1 md:1 ma:3 permits:1 work:4 erg:5 temperatures:4 example:2 indicated:1 give:2 relativistic:3 provide:1 feature:2 far:2 hot:4 description:2 earlier:3 caldb:1 outbursts:1 law:9 preshock:3 effective:1 encompassing:1 complexity:1 algorithms:1 decreasing:1 order:6 wind:3 interpretation:1 over:5 vary:1 brickhouse:1 exosat:1 fit:15 production:1 compelling:1 fig:9 fade:1 them:1 l151:1 band:3 they:10 elsner:1 represents:1 brightness:1 reasonably:1 alternately:1 improvements:2 arrow:5 each:5 sciortino:2 calibrations:1 mean:3 series:1 combining:1 laboratory:1 particles:1 skopal:2 gov:1 foundation:2 free:7 standard:3 encountering:2 estimate:6 nebulae:2 r1:1 r2:1 created:2 cosmic:1 filter:1 ism:1 onto:1 speeds:2 already:2 features:2 grade:1 primary:1 grady:1 another:3 bonito:1 approximately:4 needed:1 rates:1 listed:1 eqn:1 centered:1 tool:2 binney:3 somewhat:1 distance:3 scenario:1 princeton:2 xanadu:1 mattei:3 second:1 matter:2 scans:1 fashion:1 spectrum:16 emphasizing:1 seen:8 relatively:2 strength:2 ulrich:3 even:5 transactions:1 object:4 extending:2 constancy:1 don:1 observation:12 calculated:2 incompatible:1 flow:1 inferred:1 accounted:1 fitted:3 planetary:2 massaglia:1 colors:1 lewin:1 d9:1 substituting:1 d5:3 d2:4 tremaine:3 d1:1 northeast:2 just:4 explain:1 woodgate:1 do:1 dg:1 fluid:2 assigned:1 bar:4 nrao:1 nλ:1 explanations:1 observer:2 observed:15 radius:1 result:2 best:3 techniques:1 inappropriate:1 away:11 simplest:1 drawn:2 encounters:1 postshock:1 wd:2 nature:2 however:14 harvard:5 extent:2 contamination:1 modeling:3 essentially:2 heating:2 edgar:2 0e:1 disappears:1 presumably:2 timescale:1 had:8 height:3 basis:1 radiative:5 three:4 been:11 much:11 interest:1 fridlund:2 elitzur:1 confinement:1 krauss:1 applied:3 aip:1 castro:1 near:2 leaves:1 characterize:1 kellogg:4 aydin:1 conf:2 suggest:3 make:1 complex:5 filtered:1 several:4 entitled:1 satellite:1 peaks:2 hartigan:2 potentials:1 normalization:3 episodic:1 liedahl:1 left:2 quoted:3 proposer:1 2000d:1 farther:2 anders:2 scattering:1 previous:6 adding:2 bandpasses:1 easy:1 east:2 plasma:12 gave:3 l85:1 bands:1 possible:6 collisional:1 background:1 occurring:1 cooler:1 orlando:1 unnecessary:1 cooled:2 right:6 j2000:1 dense:2 electromagnetic:1 nonthermal:3 circ:1 gsfc:1 nonuniform:1 rosat:2 predicting:1 disappeared:3 hst:1 greenbelt:1 post:4 properties:1 o:5 brocksopp:2 slightly:1 emissivity:2 faint:3 maxwell:1 bound:4 lies:2 muxlow:1 transform:1 anderson:2 way:3 astrophysics:7 was:27 medium:8 gaseous:1 forming:1 differences:1 removes:1 soker:3 solar:2 magellanic:1 arzner:1 removed:1 hartmann:1 eyres:1 attached:1 errico:1 emit:2 originating:1 hotter:1 abstract:1 evidence:9 peres:1 regime:1 nh:1 nj:1 dotted:1 no:14 agreeing:1 whereas:3 ne:55 interested:1 role:1 ns:2 optically:1 models:6 mechanical:1 mira:7 variable:2 faster:1 assume:1 interval:1 time:15 gammie:1 l17:1 remarkable:1 munari:2 grateful:1 morphology:2 mill:1 bremsstrahlung:1 technique:1 environment:2 quasi:1 determinations:2 ık:1 southwest:2 frequencies:1 entries:1 kiloparsec:1 blast:1 cool:1 clouds:1 presented:3 did:4 overlaid:2 der:1 upper:2 slower:1 l91:1 garnavich:3 dealing:3 discover:1 20cm:1 spectral:7 43m:1 adds:1 appear:2 uniform:1 current:2 dwarf:3 unobserved:2 perpendicular:1 along:1 jura:2 appears:3 change:6 sausalito:1 noticeable:1 institute:1 shift:1 studied:1 commonly:1 bow:2 suggestion:2 noticeably:1 spatially:1 unabsorbed:2 additive:1 positive:1 predictions:1 tightly:1 yusef:1 introducing:1 acceptable:7 apparent:10 validity:1 observations:28 cases:1 preponderance:1 originally:1 values:3 believed:1 making:1 figure:9 expanding:3 performed:1 coincident:1 rays:12 s3:4 discussion:1 chemical:1 parameter:3 map:1 product:1 23h:1 may:10 spot:14 produce:2 date:3 revealed:1 sw:33 yielding:1 st:1 si:2 condensations:1 so:13 representation:1 outflowing:1 typical:1 wavelengths:1 unacceptable:1 years:13 course:3 motions:1 still:1 observational:1 derive:1 interesting:2 coordinates:1 forms:1 apec:10 dwarfs:2 inefficiency:1 non:4 reveal:2 half:2 now:1 discuss:1 nor:2 densities:2 galloway:2 january:1 didn:1 arrows:2 establishing:1 zombeck:2 entirely:1 square:1 significantly:2 ed:4 gaussian:1 astrophysical:1 year:2 ceti:1 shown:2 ferland:2 space:4 vittone:1 contained:1 nominal:1 suggesting:2 shows:6 after:1 theory:2 million:1 mechanisms:1 possibility:2 quite:1 california:1 remainder:1 arnaud:2 motion:13 think:1 first:8 origin:4 xi:2 clumped:1 kafatos:14 directly:2 array:1 angular:2 size:7 given:3 collimated:6 cooling:14 convention:1 iau:1 white:6 structures:2 national:3 gives:4 mostly:1 zadeh:1 than:22 unsch:4 backgound:1 future:1 were:15 san:1 remained:1 correction:3 locations:1 say:1 any:1 engin:1 note:3 objective:1 green:1 klis:1 investigations:1 track:1 skinner:1 cassatella:1 viotti:2 latex:1 especially:1 surprising:1 average:1 later:3 typically:1 show:7 discovered:2 bright:15 hack:4 enough:4 protostellar:1 only:7 wood:3 black:2 admixture:1 directed:1 rankine:2 get:1 expectation:1 sss:5 truly:1 cannot:4 adiabatically:2 summary:1 fainter:2 comparable:1 relative:2 rmf:1 concentric:1 detect:1 ways:1 behind:1 between:17 mekal:1 receivers:1 jets:52 article:1 come:1 pixels:1 concentrated:1 outflows:3 region:27 contract:1 jacoby:1 xspec:4 comes:2 nearby:3 reprocessed:1 color:6 period:1 pog:1 considering:1 collides:1 west:5 oder:1 direction:2 grayscale:3 observe:4 external:1 careful:1 diffuse:2 those:6 sound:2 disconnected:1 seaquist:3 characteristics:2 ambient:3 movements:1 binary:20 northward:1 l53:1 same:9 epoch:9 html:1 events:1 status:1 extended:7 closest:1 maeda:1 companion:4 driven:1 constraining:1 largely:3 roughly:5 without:3 kaas:1 components:1 model:18 binaries:4 consisted:1 being:3 rest:4 speed:5 hint:1 photons:1 seems:1 except:1 briggs:1 extensive:1 jake:1 around:3 confined:1 using:12 velocities:2 either:2 always:2 stationary:1 reduced:3 imaged:1 udel:2 46d:1 images:12 kaiser:1 symbiotic:10 power:11 comparison:1 central:29 discussed:3 drag:1 cambridge:6 micela:2 image:8 dissipation:1 references:1 determine:1 einstein:1 accumulated:2 rossi:1 log:4 area:2 there:13 stark:2 start:1 detectable:2 low:2 stars:10 mckee:2 valley:1 assumes:1 relic:1 illuminated:1 draine:2 mnras:2 longer:2 strongly:1 taylor:3 ae:1 aj:1 moved:9 analoguous:1 general:3 kimble:1 au:7 file:1 again:2 kavli:1 valid:1 spatial:2 polar:1 photon:1 60d:1 peak:7 included:1 nuclei:1 l61:1 dramatic:1 mass:23 resolution:2 original:1 abundances:6 sci:2 consider:2 pointing:2 caused:1 favata:5 cooperative:1 l7:1 disk:3 td:1 case:1 very:5 interpreting:2 decide:1 difference:3 t2:1 t1:1 large:2 small:6 ten:2 past:2 rate:2 fractionation:1 situated:1 what:1 sub:1 sum:1 version:1 learned:1 escaping:1 component:4 ranges:1 strong:1 equations:1 ahead:1 losses:1 amount:1 imaging:1 heiles:1 via:1 marginal:1 vii:4 eddington:1 takes:1 distinct:1 contains:1 proposers:1 comparing:2 yilmaz:1 taken:3 more:12 fellow:1 ejected:2 emission:49 telleschi:1 tested:1 varying:1 known:5 kenyon:1 γkt:1 none:2 science:2 equation:2 ds9:1 vs:1 den:2 history:1 compare:3 impacts:1 scan:1 collision:1 numbers:1 maps:1 hh2:2 galactic:2 tried:1 fx:2 derived:6 different:5 plane:1 heuvel:2 coming:1 alps:1 dot:2 spectra:11 remnants:1 thermal:19 paper:2 kinetic:6 its:17 energies:2 inward:1 blurring:1 actually:1 late:1 detected:3 systems:2 might:1 stencel:1 yr:8 hereafter:2 fully:1 level:5 drake:1 chandra:28 radial:1 found:8 haro:3 england:1 undetectable:1 energy:21 osterbrock:2 expect:1 measurement:1 event:5 since:5 projected:1 research:1 dominated:1 induced:1 occurs:1 asp:2 favored:1 confidence:3 asc:1 brightest:3 imagine:1 pairs:2 unresolved:2 knots:1 number:8 done:2 kom:1 temperature:16 jet:112 introduction:1 leading:1 pspc:1 least:2 assumption:2 scheme:1 southern:1 smoothed:1 too:1 shifted:1 optical:15 authors:1 believe:1 kind:1 hundred:2 determined:2 aas:1 toward:1 headings:1 paths:1 wilson:1 zero:1 self:1 extracted:2 play:1 most:11 significant:6 accreting:1 waddington:1 colliding:2 measured:1 mach:2 km:24 part:5 kt:4 velocity:21 physics:2 relation:2 find:1 giant:7 parameters:6 factor:2 tsuboi:1 dominant:1 lyα:1 dependent:1 observatory:2 closely:1 hii:1 karovska:3 resolve:1 continuum:3 arxiv:1 activity:1 bars:1 set:1 ser:1 ara:1 see:13 arc:3 sec:1 close:6 contour:4 currently:1 rejecting:1 various:1 conditions:3 available:2 recently:1 statistically:1 solf:6 complement:1 spectroscopic:1 both:7 cowley:2 whole:1 finds:1 separation:2 nonrelativistic:1 simple:1 smith:2 corresponds:4 described:1 helfand:2 bode:1 create:2 due:4 garmire:1 pc:2 reduction:1 pa:3 pg:1 ph:4 flight:1 hurwitz:1 gas:9 systematic:1 bill:1 while:1 error:1 guide:1 fernandez:1 aquarii:4 apjs:1 itself:3 grant:1 barnes:1 shorter:2 randomization:1 survey:1 ray:92 higher:7 used:7 comprehensive:1 levels:2 moving:13 prigozhin:1 recent:2 lower:8 feigelson:2 analysis:4 edge:2 distances:2 reprocessing:1 shape:3 conclusions:2 alternate:1 source:20 location:5 bin:1 wallerstein:2 adiabatic:6 flux:12 indication:1 some:4 back:2 streaming:1 30d:2 scale:3 measurements:1 per:7 proc:1 inclination:1 processing:1 bh:2 agreement:1 plots:2 obscured:1 subtract:1 intense:1 range:17 seeing:1 into:7 within:2 nsf:1 appropriate:2 because:7 primarily:1 few:5 u1:5 u0:6 fast:1 handbook:1 files:5 considerably:4 aqr:46 properly:1 episode:1 line:7 piro:1 sokoloski:4 ut:1 uv:15 up:9 us:5 resampling:1 faded:4 similar:10 associated:2 nas8:1 points:4 greenstein:2 elements:1 energetic:2 prepared:1 generated:1 structure:4 implies:3 algorithm:2 required:1 nasa:3 presenting:1 code:1 results:5 eds:1 edu:4 winds:2 contributions:1 compact:9 young:1 protostars:1 contours:2 dramatically:1 indicating:1 garden:1 vla:15 wave:1 electron:1 nichols:6 timely:1 entire:1 shock:26 radio:24 smaller:2 acis:7 cfa:2 incidentally:1 dynamics:2 universities:1 index:2 giving:1 body:1 chose:1 degree:1 explore:1 objects:6 l25:1 bodo:2 others:1 fifteen:1 larger:2 suggests:3 resulting:4 cti:1 named:1 apj:20 decrease:1 buildup:1 apply:2 cloud:1 use:4 tauri:1 eleven:1 december:1 becomes:1 occurred:1 opposing:1 eccentricity:1 high:6 account:3 bally:2 obvious:1 thin:1 crocker:1 tau:1 audard:1 process:1 linke:1 effectively:1 curving:1 regions:10 located:1 elliptical:2 instead:2 profile:1 fits:5 qsos:1 nps:3 mjd:1 supersoft:2 lines:2 nonradiative:1 allow:2 mjy:3 astronomical:1 interpreted:5 produced:2 including:2 galaxy:1 outer:54 circumstellar:2 hugoniot:2 pixel:9 lx:4 greater:3 docs:1 material:29 front:2 trad:1 university:2 hollis:12 kpl:4 heated:2 related:2 books:2 obsid:2 our:13 out:4 repositioning:1 cause:1 red:3 frank:1 galaxies:1 symbiotics:6 completely:3 interaction:1 could:12 times:6 counterpart:1 south:1 l35:1 lagging:1 monatomic:1 5cm:1 publication:1 data:18 system:10 relations:1 their:5 nebular:1 accretion:4 final:2 inner:8 seymour:1 cyg:7 hen:1 epochs:10 submitted:1 individual:2 providing:1 false:2 friedjung:1 kastner:5 unlikely:2 apparently:1 clearly:1 angle:3 min:1 mid:1 outward:10 detector:3 subject:1 mit:1 accuracy:1 unless:1 annulus:1 eject:1 schulz:1 constrain:1 fact:1 supported:2 staff:1 based:2 knowledge:1 brighter:2 emitting:29 thousands:1 equilibrium:5 means:2 lobe:102 overall:2 beam:3 richards:1 spur:2 gray:1 evolution:2 precession:1 shu:1 luminosity:3 tuned:1 processed:1 kahabka:2 fixed:3 view:1 computed:1 frame:7 hα:2 intensity:7 enhanced:2 operated:1 luminous:2 goddard:1 lyon:4 interacting:1 nebula:2 southward:1 xray:2 macros:1 state:1 joye:1 ends:1 supernova:1 efficiency:1 kev:30 configuration:1 emitter:1 observable:1 taking:3 equal:2 figures:6 detailed:1 adjusted:1 ch:7 cm:22 conclude:2 wall:2 ca:1 cxc:2 cs:2 table:11 li:2 cxo:1 addition:1 cent:1 outflow:8 treat:1 corresponding:3 pravdo:5 bulk:3 bull:1 willson:3 present:5 yso:1 unlike:1 ejection:1 appearance:2 value:3 will:1 almost:1 vi:4 thus:2 vn:1 examined:1 orbital:3 capture:1 perhaps:6 radiation:5 units:4 difficult:1 http:3 raymond:2 effect:1 v1:1 v2:1 v5:1 schr:1 center:8 modeled:1 well:1 thought:2 position:9 latest:1 spherical:2 less:1 wagner:1 obtain:4 sources:4 interim:1 distant:1 preprint:1 density:19 absorption:3 point:1 sky:1 getman:1 add:1 divided:1 resolved:4 increased:1 disappearance:1 smithsonian:1 increases:1 five:3 know:2 press:3 vλ:1 prominent:1 loss:11 like:2 lost:1 sizes:1 schmitt:1 mhz:1 farthest:1 drop:2 sequence:1 herbig:6 phenomena:1 possibilities:1 trussoni:1 graininess:1 meier:3 does:1 hutchings:1 assuming:4 swartz:2 expansion:5 stellar:2 pressure:3 although:1 simpler:1 about:11 µmp:1 2cm:1 insufficient:1 software:2 previously:1 interstellar:3 dataset:1 paresce:2 van:3 spots:1 smoothing:1 schmidtke:1 mandel:1 yrs:2 function:1 north:7 but:14 astro:1 expected:8 hh:6 gain:1 hd:1 made:2 whether:1 variations:1 wisp:1 below:9 limit:4 problem:1 minutes:2 dots:1 ysos:1 inadequate:1 inf:1 eric:1 inc:1 compared:8 calibration:5 percent:1 detail:1 other:9 francisco:1 star:16 astronomy:4 exposure:5 tomov:2 portion:1 ghosh:1
|
0705.2571.txt |@word partial:2 alg:1 results:9 leads:1 computation:2 expressions:5 depend:1 re:4 rayleigh:1 a010:1 a011:1 groundstate:1 divergent:2 g6:7 g4:5 g2:9 very:1 frequencies:2 wave:3 exact:1 treating:1 hamiltonian:2 turns:3 small:2 expanded:8 diagrammatical:2 approximation:2 zero:4 d7:1 dynamics:1 substitute:1 theory:9 trick:4 what:1 section:6 current:1 new:4 method:3 3d:9 behavior:7 consistant:1 mω:8 here:2 free:1 sinh:1 address:1 path:7 strong:18 equations:3 z1:1 z2:2 deduced:1 obtained:12 involved:1 allows:4 commonly:1 later:1 products:1 loop:1 symmetrical:1 studies:1 via:1 tr:2 apply:2 derivatives:1 proceed:1 remains:1 positive:1 contains:1 optimize:2 therefore:4 bender:7 taken:1 markets:1 until:3 diagrams:8 more:1 vpt:11 becomes:2 odinger:4 tested:1 berlin:1 dunne:1 known:1 cases:2 must:2 logarithm:1 account:5 permits:1 equation:2 des:1 oscillator:2 mv:1 values:7 temperatures:4 following:7 root:4 mz:1 calculation:2 expanding:3 indicates:1 performed:4 irreducible:1 hibbs:1 end:1 recursive:1 rather:1 get:2 e2d:8 how:1 fourth:3 instead:1 parameter:5 product:2 23d:2 oscillators:1 derived:1 xα0:2 physik:1 natural:1 effective:16 z2d:3 so:1 solely:1 order:37 superscript:1 a02:1 developed:2 a01:2 paper:1 including:1 thesis:1 y1:2 y0:2 still:1 its:1 derive:3 symmetry:3 ln:3 interesting:1 solving:1 coordinates:1 systems:1 mail:1 non:4 good:1 dxα:1 effects:2 they:1 multidimensional:2 now:4 represents:2 term:1 accompanying:1 a001:1 2d:8 stopped:1 each:2 x10:1 found:1 universit:2 2k:5 lie:1 differential:1 financial:1 series:10 energy:24 frequency:2 used:3 combining:1 quantum:4 our:1 special:1 out:3 shown:1 xαk:1 space:2 since:2 rev:5 may:2 dxdy:2 wick:2 math:3 linear:1 resume:4 divergence:1 possibility:1 approaches:2 york:1 resumed:1 interaction:2 a220:1 corrections:2 xα1:2 xα2:2 first:15 xj:7 xk:2 xi:3 xl:1 third:2 number:1 done:2 xp:1 xq:3 given:5 perturbation:13 introduction:2 leading:4 relations:5 obtainable:1 identity:1 variational:6 exactly:1 x2:5 x0:3 x1:3 than:4 coefficients:18 scheme:1 unfortunately:1 was:2 rate:4 10th:3 powers:6 fashion:1 sees:2 correction:1 spectrum:1 need:1 seem:1 recover:1 orders:2 paths:2 conversion:1 facult:1 once:1 efficient:1 lim:6 physique:1 z3d:3 sciences:1 potential:23 generalized:2 gω:6 pelster:3 allow:1 trace:1 most:2 connected:4 analytically:1 kb:5 calculated:4 partition:3 vertices:2 feynman:14 exp:8 physics:1 sum:1 dot:1 quantity:1 oneparticle:1 show:2 dependant:1 converge:1 keywords:1 substituting:5 find:2 ground:20 based:2 should:1 going:1 ambiguity:1 axiom:1 hotmail:1 legendre:1 notation:1 means:1 de:2 expectation:4 aim:1 procedures:1 singapore:1 x21:1 arxiv:1 yield:2 analytical:1 x11:1 namely:4 result:3 y2:3 artificial:2 tend:2 case:5 state:20 respectively:2 approach:2 x20:1 x22:1 knowing:1 recently:1 weak:18 however:2 wu:6 both:3 last:1 a100:1 a101:1 many:1 taking:5 according:2 called:4 bachmann:1 com:1 co:1 ca:1 others:1 harmonic:3 dimensional:7 v2d:1 respect:4 considering:1 xα:54 proceeded:1 second:10 z0:1 due:1 been:3 combined:1 expected:3 ph:1 corresponding:7 epartement:1 derivative:3 efficients:1 those:9 applied:2 exponential:1 pacs:1 ǫk:11 resummation:4 will:6 while:1 evaluating:1 2xα:1 property:2 procedure:2 a20:1 a21:1 a22:1 vd:1 coupled:1 thus:3 yk:1 reads:2 cumbersome:1 ig:1 different:2 formalism:1 author:1 perform:1 recursion:5 same:3 any:1 read:3 freie:1 complex:8 units:1 resulting:2 φk:16 φl:5 higher:3 independent:1 extended:1 infinity:1 see:2 cubic:6 numerical:1 upon:2 diploma:1 driven:1 average:3 moving:1 purpose:1 potentials:13 infinite:1 kleinert:12 lower:1 schr:4 reflection:3 without:1 resuming:2 coordinate:1 position:1 less:2 being:1 resp:2 obtain:11 abbreviation:1 thanks:2 simsek:1 world:1 dxdydz:2 alternative:1 previous:1 note:1 strongcoupling:4 improvement:1 setting:1 lett:7 5g:1 solvable:1 transformation:1 real:2 around:1 depends:1 rules:4 vacuum:1 using:6 necessary:1 particle:2 polymers:1 performing:4 benefit:1 yields:2 integrals:4 become:2 introduce:1 reduced:1 mathematical:2 satisfactory:3 old:1 often:2 deal:1 successfully:2 some:3 deduce:1 table:4 lead:1 fachbereich:1 avoid:2 steps:2 saad:1 inserting:8 scientific:1 power:2 agreement:4 expansion:10 broken:1 2m:5 imaginary:1 refers:1 x12:1 pt:2 mcgraw:1 o:15 covariant:1 a2:4 introduced:2 into:20 22d:3 integral:1 three:1 hermitian:1 square:4 references:1 determine:2 operator:4 physical:2 a111:1 a110:1 rely:1 statistics:1 ωd:1 accordingly:1 ixy:1 low:5 ed:4 sections:4 propagator:5 function:1 form:3 veff:7 but:1 convergence:7 applying:4 up:6 us:3 below:1 converted:2 limit:14 a200:1 mechanics:3 taylor:1 constant:9 introducing:2 int:4 abstract:1 aj:16 convergent:1 loops:1 examine:1 erie:1 defines:1 again:2 functions:7 compared:1 when:1 igx:7 interested:1 conclusion:1 deviation:2 a11:2 a10:2 a12:1 a0:6 meisinger:1 important:1 v3d:1 brandt:3 coupling:42 perturbatively:1 dτ:16 rule:1 e3d:8 mass:1 time:2 n0:2 antilinear:1 laws:1 external:1
|
0705.2572.txt |@word crumpled:1 concept:1 gr:2 global:1 dynamic:1 results:1 ds:1 four:3 scalar:9 entropy:3 go:2 expressions:3 contributions:1 cases:2 compact:1 particles:11 inverse:2 depend:1 patches:2 producing:1 tr:1 matrix:2 finally:1 th:3 stable:1 tf:4 include:2 tb:1 ta:2 chennai:2 string:1 very:4 rise:1 vaccuum:6 decide:1 fall:1 exact:1 condition:4 arrange:1 dim:2 whose:1 hamiltonian:1 rh:1 anisotropy:2 list:1 applicable:1 large:3 vector:2 pbh:10 degeneracy:1 possibility:1 mn:1 slower:1 ten:4 consistent:2 sin2:1 prediction:1 sign:1 surrounding:1 zero:1 canonical:1 even:1 what:2 appear:1 invertible:1 giving:1 dr2:1 near:1 expressed:2 above:3 new:2 acknowledged:1 temperatures:1 satisfy:1 outgoing:1 exchange:1 objects:1 governing:1 sinh:4 others:2 active:1 path:1 along:1 standard:1 equations:3 eprints:1 incoming:1 institute:2 averages:1 study:1 newmann:3 allows:3 example:1 amount:1 vaidya:1 spacetime:5 sticking:1 probable:1 nstar:1 leptons:2 scales:3 neutrons:1 remnant:1 extinction:1 planck:2 use:1 asymptotic:1 would:2 covariant:4 positive:1 contains:1 visit:1 charge:5 hilbert:2 occupying:1 calculation:1 therefore:1 expanding:1 taken:5 robertson:2 themselves:1 stage:3 theoretical:1 more:2 introducing:1 preserving:1 h3n:1 operators:8 factor:2 emission:1 curvature:1 observations:1 particular:1 known:1 hole:18 iii:1 fermionic:7 me:1 states:4 lifetime:1 sphere:3 deformed:1 kaluza:1 equation:3 work:3 mi:4 modified:3 theories:2 values:7 three:1 freedom:3 following:2 my:3 could:3 references:1 cosmological:5 give:9 process:2 relativistic:1 allowed:2 india:2 pieces:1 high:1 effectively:1 minimum:3 sense:2 conversely:1 occur:2 needs:1 end:3 klein:1 decaying:1 six:3 far:1 varies:1 significance:2 pins:1 parameter:1 ensemble:1 simplicity:1 description:5 algebra:1 may:3 thermodynamic:2 earlier:1 singularities:1 dx2:1 collection:1 expectation:8 date:1 data:1 stress:1 short:1 lhc:1 sectors:1 onto:1 separations:1 su:2 cosmology:2 accelerated:1 green:2 allow:1 representation:1 order:1 acts:2 eigen:2 developed:2 over:1 mainly:1 years:1 thermal:2 paper:1 including:1 statistical:2 converting:1 its:3 observational:1 revived:1 exclusion:1 decay:3 energies:2 matrices:1 masses:1 coordinates:2 actually:1 forms:3 primordial:12 microscopic:4 systems:1 puzzle:1 them:2 ym:22 halt:1 evolution:1 framework:1 effects:3 they:4 singularity:7 now:3 term:1 φk:1 invariants:3 kerr:3 sin:2 possibilities:1 iff:1 bursts:4 mode:4 radial:4 found:2 went:1 em:1 tensor:1 holonomy:2 series:1 energy:9 gaussian:1 related:1 solution:9 operator:7 used:5 static:2 quantum:20 laboratory:1 transitions:1 neighbourhood:3 out:3 emerges:1 shown:1 rp:1 network:1 space:9 rev:12 content:1 inflationary:2 dominate:1 ref:3 occurs:1 sinh2:2 theory:27 interactions:1 mechanisms:2 attempt:1 free:2 quite:1 ajay:4 formation:12 element:1 put:1 indicates:1 earliest:1 generate:1 director:1 r0:1 created:2 geometry:19 collapsing:2 ds2:1 creates:2 βf:1 isotropic:1 hence:7 configurations:2 fallen:1 origin:16 initial:2 swapped:2 variables:1 number:14 done:1 another:1 fluxes:2 angular:1 size:2 given:4 temperature:3 similarly:1 introduction:1 adjoint:1 system:3 least:1 their:8 quadratic:1 too:1 calculations:1 wrapped:1 dt2:2 final:2 gives:8 collapse:15 schwarzschild:2 sy:2 fuzzy:1 cosh:2 than:2 coefficients:2 covariantly:1 distance:1 penrose:1 horizons:1 require:3 aai:2 rate:2 aaj:2 project:1 matter:16 future:1 were:3 radius:2 treated:1 abν:1 symmetries:1 few:1 fluctuation:1 topics:1 spectrum:5 need:1 curved:2 st:1 occupied:1 any:1 ray:3 holonomies:1 depending:3 mills:11 gravity:5 indexes:1 aaµ:1 sciences:2 ideal:2 internal:2 timelike:2 interior:11 davies:1 coincide:1 wmap:1 towards:1 eath:2 though:1 friedman:1 most:2 significant:1 phase:2 acknowledgements:1 inserted:1 commutation:1 fjk:1 astro:1 kg:6 observation:2 radiating:1 considered:1 average:1 partition:7 implications:1 yang:11 electrons:1 principle:1 exp:9 xavier:1 physics:6 came:1 laws:1 precise:1 phenomenon:1 visitor:1 evaporation:17 radii:2 spaces:6 gauge:2 solutions:4 d2:1 find:2 ground:1 partners:2 feng:1 ratio:1 parameters:2 mumbai:1 explain:1 distributed:2 state:5 topological:2 should:2 analytic:1 only:2 going:1 black:44 equipped:1 local:2 exchanged:1 do:1 subspaces:1 notation:1 get:2 dependent:1 between:2 fluid:1 cushion:1 farley:2 during:7 dt:2 gen:1 becomes:4 processes:2 covering:1 conditions:4 arxiv:2 yield:1 qc:2 predicted:1 gravitational:2 mergers:1 riemannian:3 body:1 reference:1 frame:1 calabi:7 college:1 result:2 discussions:1 subject:3 radiates:1 interacting:2 outside:1 unable:1 αf:1 fermi:2 geometric:3 previous:1 approach:2 across:1 comparable:1 terms:2 nature:2 supernova:1 emitted:1 however:1 killing:1 bose:2 thank:1 both:3 essentially:1 qft:1 many:1 region:2 admit:1 ωf:3 expression:2 ci:2 relevant:1 fields:18 point:1 simple:1 continuation:1 kilometers:1 dimensional:12 written:1 simply:1 polynomial:1 exponent:1 combines:1 light:1 described:1 transformations:1 geometries:7 yau:7 create:1 locally:1 due:2 been:2 ai:1 bianchi:4 frw:1 interest:3 prl:3 anisotropic:1 degrees:2 ph:4 define:1 engine:2 determinant:1 supersymmetric:10 tµν:1 observable:4 quantities:2 formed:3 gas:5 σi:1 reaching:1 external:2 angles:1 c1:1 spin:1 case:5 multi:1 solid:1 value:1 will:8 cern:1 while:3 replaced:3 euler:1 property:1 leaves:1 polymer:1 commutative:1 spacelike:1 coupled:3 metric:5 thus:1 non:2 surface:1 ii:1 ij:1 exterior:4 dη:2 susy:16 ie:1 greater:1 compactified:3 different:1 make:2 radiation:8 same:1 quant:1 φi:4 finite:1 events:2 independent:3 ball:2 infinity:2 foam:1 effect:3 driven:1 action:1 uses:1 infinite:1 dark:7 lower:1 weakly:1 modes:4 charges:9 well:3 analysis:3 components:1 consistency:1 model:5 usual:1 unified:16 just:1 less:1 being:1 when:2 observed:2 rest:3 seen:1 transforms:13 facts:2 bogoliubov:14 cn:2 renewed:1 density:3 decayed:1 had:1 spread:1 treatment:1 theorem:1 transformation:2 momentum:3 asymptotically:1 around:8 mazumdar:1 possible:5 early:4 possibly:1 inflation:2 background:2 clustered:2 occurring:1 necessary:2 like:5 particle:10 follows:2 specific:1 yields:1 integrals:2 anti:1 balasubramaniam:1 replacement:1 mathematical:2 classical:4 creation:11 some:2 back:1 hair:3 meters:1 proper:1 scale:5 dimensions:3 electromagnetic:3 quarks:4 per:1 prof:4 anne:2 adjoints:1 illustrate:1 slight:1 compactifications:1 accretional:1 expansion:1 stellar:6 pressure:1 although:1 accompanied:1 collider:1 properties:1 hadron:1 raise:1 carried:1 universe:8 theorems:1 factors:1 distinct:2 range:2 fredholm:1 horizon:18 mixed:1 ti:5 slightly:1 gamma:4 presence:2 h3:2 into:5 within:1 integral:1 negative:1 down:2 accounts:2 einstein:1 wrap:1 proportional:1 bosonic:8 realisation:1 kieffer:1 hep:4 additional:1 area:4 support:1 there:3 question:1 transform:8 conservation:2 way:1 was:1 function:6 hawking:5 form:3 collapsed:1 m2:3 but:1 volume:4 construction:1 line:1 true:1 applying:1 2πi:1 inside:1 variations:1 up:1 us:1 ωi:3 below:1 frequency:3 limit:2 verification:1 fluctuations:3 distribution:1 similar:3 clear:1 regimes:1 detailed:1 refuted:1 later:1 pin:1 defined:4 abstract:1 contribute:2 direction:2 general:4 loops:2 conserved:2 diverse:1 corresponding:2 distributions:1 constructed:2 friedmann:1 functions:5 compared:1 no:2 cos:2 generally:1 field:23 tin:1 other:3 role:1 special:1 normal:9 papers:3 department:1 sharatchandra:2 conclusion:1 picture:4 star:2 models:1 uniformly:1 includes:1 commutator:2 generated:1 a2:3 nucleus:1 included:4 astronomy:1 structure:1 multimode:1 longer:1 dφ:4 χk:3 required:3 holes:25 together:1 mass:7 time:11 walker:2 nuclei:1 requires:1
|
0705.2573.txt |@word transitions:1 consider:1 remarkable:2 similarity:1 crucial:1 magnetic:1 particular:5 amplifier:4 results:2 quadrature:2 martinis:1 grateful:1 saminadayar:1 amplified:1 contributions:2 amplification:1 paris:1 demonstrate:1 tn:1 charge:2 does:2 restriction:1 those:1 under:1 cumulants:2 andreev:1 levitov:1 supported:1 very:6 frequencies:5 resistance:1 electron:2 fall:1 mixing:1 experimentally:1 difference:2 inset:4 cable:1 level:1 eve:1 resistor:1 large:3 differential:1 yale:1 small:4 challenge:1 upper:2 des:1 prediction:2 sign:1 second:1 design:1 correlator:10 invariant:1 dynamics:12 linear:2 spectral:5 what:1 sud:1 giving:1 assisted:8 selected:1 current:25 experiment:2 fractional:1 new:1 method:1 contrast:2 full:1 never:1 component:4 here:3 understanding:4 reported:2 capacitor:1 mes:1 represented:1 deduced:1 obtained:5 environment:1 allows:1 prieur:1 fourier:5 studies:1 involves:1 plotted:1 useful:1 extra:1 devoret:1 visible:1 addressed:1 apply:1 should:1 eiωt:1 use:2 takes:1 france:1 process:1 depicted:1 gabelli:1 selects:1 theoretical:1 separated:2 conductor:3 operators:1 emission:1 lesovik:1 normalized:4 varying:1 mounted:1 high:7 eiω1:1 room:1 tunnel:10 recall:1 setup:9 when:1 modified:1 oxide:1 itself:3 achieve:1 modifies:1 example:1 numbers:1 give:5 calculation:2 lock:1 organized:1 sample:13 performed:2 want:1 lacks:1 calculated:1 absolute:1 information:2 goal:1 provide:4 s2:20 how:2 ordinary:1 parameter:3 gordon:1 b70:1 inputs:2 product:1 express:1 b74:1 mat:1 v02:1 modulation:2 after:2 tien:1 fits:4 law:2 data:9 response:7 varied:1 dynamical:3 johnson:1 kindermann:2 lines:3 correspond:1 ghz:10 s3:3 representation:1 order:9 typical:1 integrated:2 cumulant:3 over:9 choose:1 meter:1 years:1 symbols:2 dv:8 thermal:1 experiments:1 through:2 cuts:1 its:5 kbt:3 before:1 lc:1 fit:3 chosen:1 interesting:1 exhibits:1 fruitful:1 detected:4 systems:3 jn2:1 non:1 good:2 junction:11 safi:1 processes:1 introduce:1 band:3 effects:2 now:1 yu:2 hall:2 2s2:1 represents:3 february:1 several:1 hallmarks:1 characterizes:1 university:1 drop:1 arrows:2 2e:1 2g:1 each:3 found:1 universit:1 square:6 ei:1 mesoscopic:1 principles:1 related:1 interferometer:1 conductance:6 frequency:36 expect:1 measure:5 quantum:10 our:11 beyond:2 eq:9 witness:1 out:3 nagaev:1 restricted:2 rep:1 since:2 interference:1 atiment:1 diffusive:1 re:1 rf:1 ref:3 correct:1 shows:1 occurs:1 theory:5 mechanisms:2 given:2 nti:6 put:1 wanted:1 dω1:2 definition:2 r0:5 could:3 ds2:8 keep:1 motion:1 turn:1 pieper:1 corrections:1 first:6 picciotto:1 pothier:1 symmetry:1 smaller:1 another:2 precisely:1 little:1 iω1:1 temperature:8 iω2:1 bears:1 top:3 system:1 their:1 amplifiers:1 dwell:1 filter:5 lot:1 tool:2 acquire:1 uttiker:2 environmental:1 part:3 injected:1 probably:1 holder:1 than:3 oscillate:1 diffusion:1 iωt:1 third:3 plateaus:1 determined:2 amplitude:2 providing:1 powers:1 hz:1 pass:2 curves:1 anr:1 close:1 need:1 seen:1 clearly:5 built:1 zero:1 presents:1 physique:1 note:4 mix:1 fitting:1 internal:1 absorbed:1 detector:4 towards:1 multiple:1 though:1 price:1 measures:2 most:1 involving:1 letter:2 comparisons:1 phase:16 measured:14 refrigerator:1 kb:5 reduces:1 salo:1 average:2 later:1 drifts:1 electrons:2 exp:3 physics:1 notion:1 fitted:1 quantity:5 b45:1 shot:3 discuss:2 show:2 diode:2 probe:2 relation:1 superimposed:1 find:2 slow:3 based:1 conduction:2 situations:1 iev:1 only:5 factor:4 nyquist:2 oct:1 hope:1 equilibrium:1 do:2 get:1 dependent:1 de:2 dc:14 obtain:1 reversal:1 expresses:3 report:3 during:1 averaged:3 coth:1 adiabatically:1 bˆ:1 conditions:1 arxiv:1 tuned:1 paper:1 predicted:1 london:1 thermometry:1 reference:5 achieved:1 unpublished:1 detection:5 see:10 result:2 discussions:1 terms:4 arm:4 techniques:1 wire:1 vertical:1 review:1 bias:10 fano:1 future:1 various:4 simplest:5 affecting:1 drawn:1 numerous:1 across:2 multiplied:1 recently:1 responses:2 extend:2 nature:2 emitted:1 however:6 jn:6 multiplier:2 thank:1 cos:3 last:2 limits:1 always:1 schoelkopf:1 taking:1 heating:1 sensitive:1 dated:1 context:1 contribution:1 expression:1 comes:3 load:1 filtering:1 2kb:1 characterization:1 simple:2 effective:1 corresponds:4 quadratures:1 combiner:1 described:1 arbitrary:3 three:1 been:8 describes:2 interest:1 expected:1 hardly:1 fig:22 contribute:1 corresponding:1 hekking:1 quantities:1 formed:1 precision:1 coherent:2 observe:2 deep:1 present:1 multi:1 pacs:1 solid:4 value:1 situation:1 procedure:1 vb:2 vc:4 vd:3 ve:1 coupled:1 deblock:1 thus:1 characterize:1 vs:7 cond:1 rid:1 different:1 perform:1 make:1 cross:3 same:3 shorter:1 complex:2 emphasize:2 units:1 filtered:1 dimensionless:1 finite:6 infer:1 higher:2 independent:2 used:1 laboratoire:1 upon:1 effect:4 v0:5 levels:4 conductors:1 lower:2 off:1 reflection:1 calibration:1 well:9 s20:9 calibrated:1 experimental:8 components:2 quantitative:3 cryogenic:1 usual:1 being:1 photo:8 kinks:1 bandwidth:2 identify:1 voltage:18 predicts:1 using:1 reulet:4 density:5 absorption:1 photons:2 point:4 had:1 mathematically:1 iω:1 add:1 aprili:1 plateau:1 versa:1 relevance:1 input:2 real:1 beenakker:2 fluctuating:2 around:1 susceptibility:5 nazarov:2 measurement:13 term:1 period:2 solides:1 coaxial:1 integer:1 like:2 δv:17 follows:1 signal:7 adiabatic:2 modulated:2 chamber:1 steps:1 δi:1 output:6 dilution:1 essential:2 mathematical:1 classical:1 some:1 pierre:1 bouchiat:1 understood:1 ordering:1 urbina:1 4kb:1 senzier:1 matching:1 transport:3 pronounced:1 scale:1 bottom:4 broadband:1 avoid:1 measurements:2 microwave:1 contributing:1 interations:1 provides:1 mhz:3 beating:5 bessel:1 demonstrated:2 measuring:1 biased:3 noise:57 power:3 wavefunctions:2 fabricated:1 agreement:6 shifting:1 between:4 science:1 comparison:1 central:2 dependence:4 mixes:1 blanter:1 plus:2 introduced:1 considerations:1 rev:12 significant:1 presence:2 within:1 montambaux:1 due:6 weighted:1 responds:2 determine:2 proportional:3 conceptually:1 orsay:1 statistics:1 there:2 start:1 much:3 low:9 way:1 was:2 function:1 additionnal:1 pilgram:1 but:5 cedex:1 gain:2 impedance:3 line:2 removed:1 he:1 prober:3 us:2 unveils:1 placed:1 below:2 limit:2 emissions:1 sum:4 fluctuations:7 problem:1 define:1 similar:1 called:1 bandpass:1 fulfills:1 ac:22 associated:1 defined:3 certain:1 b69:1 describe:1 proven:1 evidence:1 beats:1 work:2 interferences:1 regime:8 ev:14 dotted:1 no:6 dashed:1 generally:1 vanishes:1 field:1 details:1 normal:1 conclude:1 picture:1 perpendicular:1 excitation:25 symbol:4 est:1 included:1 longer:1 vice:1 restores:1 curve:3 phonon:1 fact:1 time:9 far:1 lett:7 external:1
|
0705.2574.txt |@word xk:2 xi:27 øn:1 b2:7 el:10 sin2:3 dθ2:1 dθ1:1 ik:1 b1:1 dθ:1 l2z:1 p2θ:1 x¹:5 eh:8 xn1:1 lg:5 xn2:1 const:1 ymax:4 dr1:1 max:1 4rg:2 10w:1 2rg:1 kα:28 rg:32 ra:1 m2:1 dt2:1 ph:1 pi:2 lz:2 sin:6 r12:1 may:1 z1:3 astro:1 a2:20 ra2:1 cos2:3 x2:9 ξa:2 dt:1 x1:9 dr:2 e0:4 z2:1 me:1 a1:7 cos:1 r0:3 r1:2 2r:2 dφ:2 arxiv:1 ds2:1 dσ:6 nº:1 ξk:5 kw:2 exp:4 n1:7 n2:7 2gm:1
|
0705.2575.txt |@word represent:1 quarks:2 partial:1 angles:2 switched:1 groundwork:1 lagrangian:1 both:1 results:7 pdfs:3 four:1 roy:1 softer:1 gb:1 ga:2 gs:2 contributions:1 sch:1 simon:1 depend:1 calculate:2 re:2 effort:2 editors:1 environment:1 finally:1 monotonically:1 those:8 elliptic:2 niemi:1 tb:2 tc:2 ta:3 case:7 probe:1 zhang:1 very:1 decreases:2 differently:1 focus:1 bjorken:11 fai:1 figs:1 peripheral:1 experimentally:2 emphasized:1 difference:3 rapidities:9 condition:1 treating:1 gg:1 moderate:1 solves:1 presented:2 positions:3 t2:1 applicable:1 t0:1 large:1 eur:3 woods:1 sensitivity:2 m2p:2 small:2 kolhinen:1 exhibits:1 cmp:1 peigne:1 upper:4 dilute:1 monotonous:1 zj:3 yaffe:3 direct:1 stratmann:1 cosh:1 approximation:2 surrounding:1 rate:6 quebec:1 pass:1 further:6 dynamics:1 quite:1 even:1 index:1 what:1 errors:1 abd:1 appear:2 section:6 quantifying:1 expressed:1 thickness:1 above:3 contributes:1 boost:5 vitev:2 php:1 3d:23 impact:9 wiedemann:3 degree:1 exchange:1 respectively:3 loose:1 here:4 understanding:4 ranges:1 asymmetry:8 bremsstrahlung:4 possibility:2 address:1 alone:2 path:3 strong:4 equations:2 change:1 schiff:1 obtained:4 dokshitzer:2 study:10 studied:6 steffen:1 commonly:1 atom:1 resulting:3 makes:1 stirling:1 montreal:1 uniquely:1 useful:2 cteq5:17 highdensity:1 clare:1 natural:1 highly:1 scaled:2 durham:1 gluon:8 aimed:1 plots:1 traversing:2 outer:6 quenching:10 plot:3 use:4 usa:1 may:1 contains:1 nagoya:2 optimize:1 calculation:16 nucl:15 therefore:6 relativistic:7 taken:9 inner:6 panel:5 theoretical:6 reflects:1 hydro:8 flat:1 partons:6 th:6 successful:1 neglected:1 emission:4 afer:1 tested:1 department:4 profiles:5 particular:1 eks98:22 cases:1 iii:2 kolb:1 states:1 account:3 mb:1 equation:4 work:3 protons:1 nagai:1 values:6 kovner:2 levai:3 following:3 vary:1 compare:5 wang:7 chosen:1 process:4 expanding:4 allowed:1 organized:1 purposes:1 high:10 collision:4 assumptions:1 adil:1 tab:3 sense:1 times:3 species:1 dxa:1 dk:1 information:2 traversed:1 turn:1 provide:4 discussion:1 holds:1 moves:1 how:5 hot:3 monotonously:1 influences:1 significance:1 distri:1 more:7 absolute:1 parameter:7 profile:4 mueller:2 de:4 description:9 influenced:1 replacing:1 overall:4 after:4 containing:1 lab:1 straightforwardly:1 plane:31 mustafa:1 value:4 verified:1 destructive:1 data:14 fm:49 caveats:1 ambiguous:1 physical:1 dynamical:1 effective:2 lai:1 light:1 spectra:2 parameterized:3 dσa:1 generic:1 kniehl:1 so:1 specifying:1 mcgill:1 correlation:1 pleasure:1 fireball:1 order:3 typical:1 kumano:1 baier:2 subsections:1 nucleon:3 developed:1 over:7 move:1 mainly:4 sions:1 produced:4 thermal:8 experiments:1 including:3 preliminary:6 affect:1 japan:1 its:3 longitudinal:1 thank:3 acknowledge:1 energies:2 interesting:4 masses:1 solving:1 varies:2 coordinates:1 actually:1 late:1 estimating:1 production:7 fig:36 saxon:1 might:4 alter:1 emphasize:1 versus:4 eventually:2 non:20 good:2 affected:1 combination:2 fragment:1 outlined:2 kkp:5 reflected:2 framework:1 effects:11 they:5 acta:1 4παs:1 pjt:6 adcox:1 discuss:1 represents:1 february:1 finite:4 2p:1 fully:3 university:3 drop:1 honkanen:1 2d:3 realistic:1 huovinen:1 disregard:1 found:3 2h:2 characterized:1 referred:1 heavy:5 differential:3 financial:1 significantly:2 hadronic:5 ed:2 energy:41 hard:2 stronger:3 related:1 solution:2 sinha:1 owing:1 ey:1 yield:2 measure:1 our:11 mapping:1 eq:5 out:23 canada:2 shown:9 shadowing:20 space:2 restricted:1 furthermore:2 since:3 interference:1 research:2 increase:1 collisions:47 posteriori:1 vector:1 rischke:1 reader:1 m2d:2 heinz:1 postpone:1 induced:2 2k:1 zj2:1 shows:3 aurenche:1 earlier:1 turning:2 bass:6 interactions:2 hirai:1 qf:8 mechanisms:1 free:1 quark:9 measurable:1 centralities:2 reason:2 cteq:1 eks:1 put:1 org:1 estimate:1 hand:1 muller:1 incorporates:1 interaction:1 r0:2 created:7 eskola:4 transition:5 dpj:1 phenix:14 mesh:1 dutt:1 hadrons:7 first:2 origin:1 already:1 utilizes:1 probability:1 jhep:4 xb:2 xa:3 potter:1 number:4 reaches:2 restrict:2 utilized:2 smaller:1 simplified:1 sensitive:3 lesser:1 2nc:1 illustrate:2 given:5 law:2 checked:1 temperature:17 jet:42 similarly:1 introduction:1 leading:2 interact:3 behaves:1 system:1 their:4 quadratic:1 expand:1 calculations:4 dt0:1 final:7 gives:1 gyulassy:4 way:1 asymmetric:2 baryon:3 exactly:1 alam:1 transverse:16 dnaa:1 assumption:3 part:1 review:1 x2:1 x3:1 than:10 x4:1 relative:2 kine:1 determines:1 namely:4 tomographic:4 collinear:1 matter:4 future:1 contrary:1 recombination:1 neufeld:1 treated:2 perturbative:2 pre:1 m2:3 rad:1 fashion:1 raa:76 agev:3 renk:9 turned:1 spectrum:2 bnl:1 gale:2 substantial:1 thorne:1 qualitatively:1 seen:4 constrained:1 2t8:1 relatively:1 strength:2 angle:3 form:2 depending:2 guo:1 able:1 mid:11 mechanism:3 note:2 sciences:1 ideal:2 k0:2 horowitz:1 indicates:1 online:16 finding:2 sn:3 experienced:4 trace:1 probed:1 collaboration:6 decreasing:1 wicks:1 most:6 connected:1 significant:2 cronin:1 phase:13 formalisms:2 measured:6 quantify:1 prove:1 deviations:4 acknowledges:1 give:2 especially:3 considered:1 up:1 calculated:3 later:3 flow:22 inferred:2 points:2 kw:1 principle:1 exp:2 azimuth:7 velocity:4 prefactor:1 physics:5 away:2 fact:2 quantity:5 sector:1 incorporate:1 selection:1 phenomenon:1 show:5 charles:1 dependences:1 determine:1 gov:1 longer:2 d2:13 indicate:2 nlo:1 make:1 partonic:9 symmetric:1 fg02:1 ratio:12 parameters:5 much:1 enough:1 should:2 jan:1 only:16 subsection:1 factor:11 employed:5 local:5 pointed:1 equilibrium:3 dn:4 insight:1 dominant:1 gev:28 dh:2 there:2 routine:1 quantified:1 fluid:3 isotherms:1 pions:10 vries:2 rest:1 dy:9 during:2 dt:3 averaged:5 collisional:1 boundary:3 dp:2 reveal:1 evolution:22 increasing:2 dumitru:1 nicely:1 approach:1 arxiv:15 nucleusnucleus:1 factorization:2 acknowledgments:1 paper:4 predicted:2 qg:1 rfd:3 through:5 dainese:1 fixed:2 experiences:1 hadronization:1 view:2 traverse:3 set:3 turbide:2 computed:1 ratios:3 achieved:2 imposing:3 frame:4 correlations:1 freeze:1 observed:2 see:9 full:2 sec:4 result:1 discussions:2 close:1 constraints:2 techniques:1 roberts:1 αs:8 tensor:2 dk0:1 consistency:1 nuclear:41 illustration:1 propagates:1 boundaries:4 state:2 determined:3 various:1 closed:1 between:3 invariant:4 geometric:2 conditions:3 µb:1 available:2 notice:2 emitted:1 recently:1 initially:2 were:2 however:1 prediction:1 council:1 reproduces:1 ǫmax:2 extent:1 butions:1 distinguish:1 article:1 2pk:1 jetp:3 suppressed:1 improve:1 observable:1 essentially:2 prescription:1 consistent:2 freely:1 region:2 conclusions:2 according:2 attributed:1 fulfilled:1 ln:1 dated:1 context:1 casimir:1 passing:2 experimental:4 strongly:1 adjusted:3 relevant:2 point:8 simple:2 ca:4 corresponds:2 dimensional:4 jets:21 ab:1 anti:4 capabilities:1 cs:4 throughout:2 considers:1 pqcd:2 pp:2 collider:1 pt:69 basis:1 simplification:1 radiative:1 three:3 been:9 reduction:2 pa:1 slowly:1 pg:1 azimuthal:7 pj:2 grant:1 ph:7 define:1 direction:1 rather:2 controlled:1 reaction:1 quantities:1 formed:1 ager:1 bulk:4 observe:1 determination:5 systematic:2 present:7 applied:2 p0:1 majumder:3 engineering:1 arnold:3 will:10 while:7 behavior:3 many:1 ultra:1 leaves:1 h3a:1 find:1 coupled:1 almost:4 allows:2 metric:1 tabl:1 iv:2 ii:3 itself:1 experience:1 ruppert:6 comments:1 binary:3 different:33 gs2:3 develop:1 propagation:1 lengths:1 disregarded:1 noncentral:1 radiation:1 cross:4 same:7 clearly:3 pab:3 arguments:1 modification:8 several:1 incl:5 higher:6 independent:2 used:3 http:1 hwa:1 singapore:1 boosted:1 numerical:1 effect:5 possible:2 effectively:1 ion:4 v2:1 moving:1 hydrodynamics:2 invariance:1 nara:1 normalization:2 recent:1 amy:14 lower:5 off:4 center:2 mention:1 charges:1 studies:3 differences:6 no:6 well:4 analysis:1 obviously:1 xjt:2 strottman:1 without:6 glv:1 relied:1 position:4 model:8 arising:1 whereas:1 parametrically:1 charged:2 stringent:3 guang:1 less:1 being:1 kramer:1 resolution:1 valuable:1 imprint:1 shape:1 colli:1 world:1 momenta:2 zaraket:1 scattering:1 loizides:1 cut:1 bdmps:3 density:8 zakharov:2 absorption:1 elaborated:1 parametrization:1 exclusively:1 color:17 treatment:5 emissions:5 input:1 plasma:2 momentum:15 identical:1 tests:1 increased:1 thermalized:3 evaluate:1 measurement:2 term:1 qgp:1 early:6 possibly:1 built:1 subdominant:1 grid:1 vacuum:2 using:4 rhic:11 loss:27 modifications:1 imposed:1 adams:1 particle:2 follows:1 collective:5 translates:1 specific:1 yields:1 contradict:1 hung:1 become:2 works:1 soft:5 essential:1 deconfined:3 www:2 because:1 often:1 some:1 back:1 jager:1 employing:1 onto:1 towards:1 thoma:1 evaluated:3 choosing:1 specified:1 proper:6 extended:2 neglecting:1 ourselves:1 rapidity:24 scales:2 provided:2 scale:4 dense:2 lead:2 2xa:2 demonstrates:1 measurements:4 overlap:1 does:2 provides:1 assuming:2 fragments:3 propagating:1 refer:1 averaging:1 gelis:1 scientific:1 power:5 mazumder:1 martin:1 agreement:1 expansion:9 stem:1 pressure:1 rasanen:1 although:1 qˆ:1 enforced:1 described:3 prescriptions:1 properties:5 hadron:4 stage:2 comparison:7 about:5 δe:2 central:30 would:3 constraint:1 dzj:1 discussed:2 dependence:2 o:1 reduced:1 range:2 mixed:4 propagate:2 mean:1 slightly:1 kaons:1 vi:1 duke:1 rev:19 suppression:4 presence:1 h2:1 tuominen:1 into:8 within:3 integral:2 due:3 down:1 appropriate:1 extending:1 accounts:2 decrease:2 parton:14 elementary:1 dnj:1 vj:3 descriptions:3 uncertainties:5 rely:1 hep:7 additional:4 comparing:4 assumed:4 support:2 initial:26 question:1 fast:1 rept:1 conservation:1 low:1 fraction:3 forward:18 subsequent:3 was:7 treat:1 function:27 medium:54 triggered:1 simplifications:1 qcd:1 but:10 sophisticated:1 expected:2 neutral:16 larger:4 level:1 true:1 considerable:2 deployed:1 faster:2 fragmentation:8 made:1 applying:1 adler:3 vogelsang:2 multiplicity:1 fries:1 maximum:2 below:1 un:1 lays:1 planes:1 demonstrate:1 distribution:23 stages:1 similar:3 average:3 assistance:1 ex:2 detailed:2 qin:1 constant:5 moore:5 inclusive:4 defined:1 detectors:1 geometrical:2 describe:3 influence:3 ruuskanen:1 twist:3 single:2 3fm:1 au:13 laboratory:1 tomography:1 corresponding:1 formalism:14 distributions:7 dγ:3 computational:1 regime:1 again:1 functions:10 compared:6 variety:1 nb:3 nc:1 when:2 detail:1 nf:2 other:1 details:2 test:2 you:1 midrapidity:20 hydrodynamical:19 nonaka:6 conjectures:2 briefly:1 star:6 energetic:1 temperatures:1 models:1 reached:1 includes:1 important:1 nucleus:1 hirano:1 suited:1 wounded:1 included:1 ncoll:1 papp:1 jeon:3 coupling:4 pion:14 assume:1 thermalization:2 factors:1 pseudo:1 dσ:1 together:1 indirectly:1 eos:2 mass:1 time:10 far:2 observables:4 nuclei:2 salgado:2 starting:1 lett:7 once:3
|
0705.2576.txt |@word sci:1 consider:4 pointing:1 funct:1 equalities:1 lack:1 results:4 proposition:8 kato:1 go:1 follow:2 compact:23 whose:4 isometric:1 inverse:1 tx:20 paris:1 graph:14 equivalence:1 contained:1 noncompact:2 ıa:1 finally:1 th:2 under:1 friendly:1 norm:8 orthogonal:16 very:1 rise:1 choice:1 corollary:9 valued:2 every:20 condition:9 amodules:1 presented:1 proc:2 notes:1 michael:1 admissible:1 erateurs:1 anal:1 submodules:6 direct:7 biorthogonal:6 further:3 quite:1 canonical:1 even:1 what:1 appear:1 sum:3 brief:1 above:6 capital:1 new:3 learned:1 relationships:1 full:2 iran:1 respectively:7 reads:1 modular:1 les:2 groups:3 situation:1 affiliated:1 strong:1 appears:1 bimodules:1 obtained:1 remark:2 property:4 study:3 larger:1 completely:1 freytag:1 suitable:1 via:2 useful:1 projection:3 classification:1 ix:6 explained:1 modifying:1 coinciding:1 univ:1 use:2 feb:1 would:3 prove:1 positive:7 continuous:1 reflexivity:1 hilbert:90 few:1 linear:31 closedness:4 therefore:7 sharpen:1 reflects:1 more:1 duality:1 clearly:1 initial:1 operators:77 everywhere:1 known:3 hold:5 iii:6 springer:2 isomorphism:3 recall:4 work:1 fuglede:1 pour:1 arveson:1 kamran:2 publications:1 following:5 example:3 address:2 proof:11 give:7 preserving:3 states:1 o:1 arise:1 conversely:2 verlag:1 denotations:1 respective:1 szeged:1 provide:1 holds:3 maps:4 criterion:3 kustermans:2 acta:1 map:15 product:4 ft:32 description:1 algebra:16 may:3 after:1 needs:1 applications:1 representations:2 geometrical:2 short:1 third:2 whenever:1 fu:1 element:5 rather:1 so:12 sc:1 definitions:2 over:16 paper:4 banach:1 y1:2 existence:1 satisfies:3 y2:2 vari:1 its:14 accepted:1 derive:1 thank:2 summands:4 interesting:3 imn:2 forms:1 baaj:2 mail:2 defining:1 maximal:1 them:3 good:2 ym:1 yn:3 elementary:1 number:1 motivates:1 they:1 oxford:2 nov:1 now:4 possess:1 equality:7 always:1 university:2 iff:6 each:4 found:3 characterized:1 bond:1 domain:8 en:1 england:1 directly:1 ee:11 series:2 related:1 bijective:2 used:1 ex:1 quantum:3 special:1 out:1 category:2 shown:2 unital:2 furthermore:1 since:9 denotes:1 reformulate:1 acting:1 lecture:1 math:10 shows:2 theory:10 frank:12 lms:1 surveys:1 mapping:1 admits:1 reason:1 perturbation:1 york:2 subalgebras:1 wanted:1 definition:7 pairs:1 geometry:2 phrases:1 categorical:1 amodule:1 invitation:1 hence:4 onto:2 first:9 xi:3 xn:9 xm:2 bijection:4 possessing:1 primary:1 morita:1 another:4 precisely:1 open:1 given:4 necessarily:5 publication:1 similarly:3 introduction:1 xii:3 adjoint:22 indicate:1 assumption:1 too:2 convention:1 structures:1 revisited:1 williams:1 gives:1 julg:2 tool:1 exactly:1 schweizer:6 sharifi:11 authors:2 x2:2 x0:5 x1:2 kind:1 showed:1 characterizations:1 dans:1 second:5 accordance:1 contrary:2 supposed:1 were:3 descriptions:2 pre:3 fonctorialit:1 ran:49 need:1 their:4 zero:3 self:1 converges:6 note:2 ideal:1 take:1 gmail:1 calculus:4 converse:1 trace:2 normal:4 birkh:1 regular:44 orthogonally:21 representation:1 pair:4 closable:1 class:2 es:2 dom:65 considered:1 later:1 stronger:1 graphs:1 hi:3 section:1 fact:4 show:3 topologically:1 chapters:1 spaces:2 zeitschr:1 decompositions:1 conclusion:1 trivial:2 find:2 figueroa:1 situations:1 semiregular:4 topological:1 jan:1 lemma:1 only:17 equipped:1 constant:3 preliminaries:1 his:6 sense:2 notation:1 means:2 de:2 words:2 despite:1 secondary:1 arilly:1 qt:5 approach:2 arxiv:4 kernel:2 requirement:1 set:8 exists:11 notice:1 module:28 see:3 projections:1 y0:3 fail:1 subject:1 said:2 positivity:1 closed:73 between:17 conditions:8 available:3 comparable:1 recently:1 complementary:1 complement:11 however:2 densely:54 comm:1 here:1 key:1 multiplier:1 amer:3 ker:49 both:3 tractable:1 space:7 admit:1 und:1 com:1 coincides:1 collecting:1 ci:1 reconsidered:1 simple:1 leipzig:3 cf:12 simply:1 respect:4 throughout:1 selfadjoint:6 kernels:2 pw:1 locally:1 been:2 pf:13 pg:11 pe:4 collected:1 extends:1 algebras:25 empty:1 define:4 surjective:2 box:1 referee:1 corresponding:1 sufficient:3 propositions:1 nonregular:1 gap:1 noncommutative:1 monogr:1 c1:1 denote:4 present:4 case:4 contexts:1 will:1 while:1 suppose:9 viii:1 investigating:1 adjointable:12 putnam:1 characterizing:1 real:2 unitary:1 vi:2 ir:1 thus:1 non:6 iv:6 ii:8 characterize:1 regularity:3 itself:1 c0:3 technology:1 result:2 author:2 generic:2 same:1 any:14 beside:2 proved:3 several:1 pal:6 literature:1 infinity:1 imply:2 complemented:21 hand:1 v1:2 v2:1 auser:1 hilsum:3 lower:1 acknowledgement:1 well:3 possesses:8 left:3 obtain:1 transforms:1 immediately:1 facts:2 alternative:1 eorie:1 submodule:12 except:1 valid:1 corollaries:1 versa:1 theorem:30 gave:4 identical:1 vii:1 aspects:1 possibly:1 know:1 press:2 using:1 part:1 unique:2 necessary:2 like:3 follows:7 indication:1 arbitrary:12 works:1 reduced:2 acad:1 often:2 deal:1 sequence:6 some:10 kasparov:2 born:1 added:1 moreover:5 images:2 gracia:1 dense:16 lead:1 fachbereich:1 comments:1 providence:1 does:3 summand:9 adjoints:1 minimal:1 refer:1 equivalent:3 olsen:1 properties:8 commutative:2 chapter:2 about:4 extension:1 42a:1 discussed:1 assertion:1 oa:3 page:1 compatible:1 range:26 ensure:1 woronowicz:2 germany:1 introduced:3 consequently:2 other:2 automatically:5 op:1 soc:3 cambridge:1 letters:2 inclusion:1 unbounded:15 into:2 functional:3 references:1 operator:75 strasse:1 reducing:1 her:1 transfer:1 there:16 transform:4 suppositions:1 atkinson:1 anwendungen:1 inner:3 was:2 form:1 basic:1 jun:1 but:1 construction:1 he:2 us:2 kk:3 below:2 demonstrate:1 called:10 ac:1 ordered:1 defined:56 certain:1 abstract:1 describe:1 general:1 exist:2 ax:1 defines:1 faithful:1 no:4 raeburn:1 book:3 details:1 department:1 mathematics:2 subalgebra:1 pker:1 nice:1 lance:5 elements:8 bounded:31 variable:1 transfers:1 lemmata:1 implies:11 vice:1 assume:1 factors:1 modules:52 together:2 notion:1 time:1 original:1
|
0705.2577.txt |@word darboux:1 partial:2 consider:2 illustrates:1 ackel:1 both:2 results:7 leads:4 roy:2 commute:1 subclass:1 go:1 expressions:1 gl:1 kh:1 whose:3 depend:1 violate:1 re:1 disposal:1 environment:1 finally:1 those:4 th:4 γc:2 γb:1 worth:5 ra:2 activities:2 straightforward:2 outside:1 very:1 3s4:2 rise:1 emphasizes:1 choice:10 deformations:1 casas:1 exact:4 reading:1 condition:7 groups:1 four:2 annihilated:2 hamiltonian:8 irreducible:6 list:1 solution:2 involution:1 phase:2 rν:2 roos:1 eigenvalues:8 csch2:9 noted:1 evai:2 upper:1 employing:1 zi:1 2k2:1 sukhatme:1 miller:6 sin2:10 direct:2 unpolarized:1 cosh:12 approximation:1 fold:1 integrability:2 chen:2 dynamics:2 odd:3 canonical:2 even:3 what:2 nonlinear:5 stands:1 brackets:1 fact:1 section:8 selected:1 expressed:2 henceforth:1 zhedanov:4 19th:1 version:1 en:1 above:1 selecting:1 new:4 d1:1 method:5 raton:1 satisfy:1 simultaneously:4 hern:1 degree:2 γz:1 respectively:3 interested:1 here:7 understanding:1 following:2 les:1 cos2:10 separation:1 cab:1 equations:15 z1:1 z2:1 obtained:8 search:3 property:1 wesley:1 study:5 larger:1 solvability:1 resulting:2 poisson:7 published:1 identity:1 khare:1 8q2:2 settled:1 mutual:1 emerge:1 identification:1 useful:1 classification:4 semiconductors:1 sign:1 linearly:1 use:3 additive:1 uniformity:1 sake:2 positive:2 quesne:11 quasi:2 properties:3 few:1 nucl:2 noting:3 ψn:17 therefore:8 taken:1 associated:6 type:2 theoretical:1 more:3 waveguides:1 flat:3 knows:1 comparison:1 px2:2 operators:23 factor:1 odinger:23 observing:1 observations:1 particular:3 known:4 ulis:1 derivation:1 topic:1 keeping:1 ma:1 sphere:1 deformed:15 recall:1 equation:34 work:2 oscillator:11 theories:2 cak:1 recast:1 fock:2 values:3 ulb:1 making:1 fulfil:1 drops:1 example:4 deg:1 conformally:3 give:1 process:2 allowed:1 organized:1 purposes:1 states:3 unphysical:4 bend:1 degenerate:1 arise:1 interpreted:1 chapman:1 simple:1 axis:1 counterpart:1 notation:1 awkward:1 provide:3 s2:3 means:2 daskaloyannis:5 s4:1 far:2 zn0:1 contrasts:1 simplifies:1 instead:3 sin:21 simplicity:2 ζc:2 blocks:1 mat:2 algebra:35 may:8 ζi:1 ladder:2 derived:2 mapping:1 applications:2 plane:1 account:1 representations:8 2γc:1 journals:1 parallel:1 constants:5 namely:2 stress:1 andez:1 purely:1 dynamical:3 effective:7 whenever:1 light:2 linear:3 explicit:5 correspond:2 su:1 st:1 rather:1 ones:1 so:8 allow:1 sl:2 representation:1 energetics:1 order:18 superscript:1 restriction:2 breaking:1 indeed:6 over:2 vary:1 satisfied:2 years:1 course:1 paper:3 including:1 innovative:1 mentioned:1 existence:1 satisfies:3 y2:3 its:10 before:4 revived:1 conjunction:1 group:2 lc:1 sν:2 la:1 interesting:5 ll:1 solving:2 actually:2 production:1 systems:21 jacobi:1 mail:1 hidden:1 arias:1 might:2 supersymmetry:2 correspondence:2 them:4 susyqm:5 combination:1 13k:1 propose:1 nada:2 evolution:1 puente:1 framework:1 they:3 oxford:2 advantage:1 now:6 hall:1 nor:1 eigenvalue:2 finite:6 2p:5 2q:15 goldstein:1 always:1 university:1 level:2 2x:8 appropriate:2 2z:1 2d:2 ddimensional:1 qx:70 found:1 universit:1 side:1 associative:8 referred:1 preceded:1 differential:12 dong:1 energy:6 hypergeometric:2 principles:1 related:2 wires:2 valiev:1 combining:1 quantum:28 our:10 ring:1 special:1 shown:6 matrix:4 space:2 furthermore:2 since:5 rev:6 research:3 looking:1 attracted:1 ren:1 wire:1 rc:2 denoted:1 induced:1 math:28 shows:1 sinh2:10 i2:3 theory:4 barrier:1 associate:2 sudarshan:1 diagonal:6 free:1 kokkotas:1 admits:2 approaches:1 complicated:1 york:1 members:1 ask:1 8q:4 generate:2 degeneracies:2 retained:1 r1:3 geometry:1 could:2 similarly:1 used:6 motion:21 ordering:1 levels:1 santander:1 barriers:1 moving:3 xiang:1 onto:1 first:16 separable:1 already:2 symmetry:4 relate:1 variables:4 number:4 manolescu:1 xy:2 relations:7 another:7 bonatsos:1 xp:1 electronic:1 between:5 given:12 boulevard:1 checked:1 plaine:1 introduction:1 leading:1 eqs:1 system:7 construct:1 response:1 sech2:1 their:10 manifolds:1 superintegrable:24 calculations:2 realization:5 iachello:1 veff:2 behaved:1 final:2 speaking:1 too:1 mentioning:1 parafermions:1 aa3:1 mostly:1 trapped:1 tool:1 exactly:6 realized:2 boca:1 part:2 hyperbolic:1 editions:1 x2:3 zc:2 than:2 coefficients:3 varieties:1 relative:1 kind:2 determines:1 third:3 cimento:2 second:18 modelled:1 αc:2 winternitz:4 express:1 determined:6 sech:2 symmetries:2 close:1 rewrite:1 py2:4 7k:1 spectrum:3 generalization:1 yielding:2 substantial:1 conjugate:2 intertwining:6 take:1 lozada:1 any:7 lie:1 wilson:3 built:1 zero:4 depending:2 check:1 lim:11 latter:4 physique:3 aa:1 violates:1 note:3 k2:3 k1:1 potential:5 generalized:5 online:1 coincide:1 subject:2 channel:1 formulas:1 shall:2 gatica:1 paid:1 eaire:1 abc:1 importantly:1 complementing:1 position:20 pair:3 spin:1 class:3 commutation:3 kc:1 constructed:2 remains:1 considered:5 clear:1 adopt:2 metal:1 nondegenerate:1 bracket:1 boronat:1 mechanical:2 hietarinta:1 χl:2 sigma:2 dot:1 2m0:3 drastically:1 show:1 ursey:1 bagchi:1 recipe:1 dipole:1 ki:1 spaces:5 relation:3 solutions:8 entirely:1 superalgebra:2 d0:1 ground:1 partners:1 q2:10 based:2 q4:1 parameters:5 tempesta:1 enough:1 should:2 only:5 bases:2 ambiguity:1 libre:1 integrable:1 employed:1 hamiltonians:2 local:1 aǫ:1 viewpoint:3 get:2 dependent:20 liquid:1 de:5 dc:2 da:1 barranco:1 aγ:1 cannot:1 negative:1 words:3 invariant:2 combinations:2 during:1 du:1 gen:5 normalizable:3 runs:2 qr:5 2dγ:1 qy:61 approach:9 bastard:1 arxiv:1 expansions:1 yield:2 consisting:1 navarro:1 crc:1 europhys:1 racah:4 bac:1 through:1 qk:6 implying:1 coefficient:1 set:5 mustafa:2 imposing:1 testing:1 maximum:1 observed:1 cassou:1 see:8 result:4 domain:1 terms:11 alternative:2 best:1 techniques:2 closes:1 phases:1 satisfying:3 eigenfunctions:5 ways:2 nuclear:1 definite:1 consequence:1 schuck:1 boundaries:1 case:9 written:3 various:1 simplest:1 conceptual:1 progress:1 boundary:4 semiconductor:2 conditions:5 available:2 restricting:1 recently:2 importance:1 confusion:2 attention:2 points:1 however:2 jr:6 superintegrability:3 vanishing:1 kress:4 2αc:1 key:1 analyzed:1 article:1 problem:7 askey:2 received:1 cos:20 2n:1 many:3 taking:2 density:1 hence:4 mathematical:2 etc:1 pdm:14 saavedra:1 context:4 casimir:7 expression:2 masses:1 among:2 csch:8 sinh:16 point:3 cc:4 connection:1 corresponds:2 insist:1 dimensional:36 ψn0:2 cba:1 polynomial:3 constant:5 rep:2 16q:2 unusual:1 described:1 transformations:1 basis:11 addition:1 z0:1 px:5 py:9 smorodinsky:3 three:4 been:10 much:1 change:1 interest:3 basic:4 ph:10 algebras:15 pn:1 ann:4 lett:7 dots:2 undetermined:1 generating:1 adopted:2 corresponding:3 commutes:2 fl:1 body:1 convention:1 coherent:1 dirac:1 kalnins:6 systematic:2 clusters:3 maximally:2 irrelevant:1 former:2 present:2 applied:3 ǫb:1 tanh:2 tang:1 defining:1 ǫi:1 polls:1 value:2 transformation:4 will:4 euclidean:2 while:6 kepler:1 abrupt:1 qη:1 ǫz:1 di:1 2k:24 inspired:1 procedure:2 nonrelativistic:1 layer:5 changed:1 century:1 illustrated:1 binding:1 non:1 according:1 ii:4 reads:2 examined:1 cond:2 gudmundsson:1 curved:3 susy:1 serra:2 wave:2 k0:1 fabrocini:1 fulfilled:1 different:2 ap:2 author:1 make:1 secondorder:1 kξ:1 same:4 wherein:7 highlighted:1 ya:6 complex:1 quant:5 2u:10 diagonalize:1 units:2 dimensionless:1 several:1 subalgebra:1 φn:2 higher:1 independent:7 calculation:1 extended:2 http:1 imply:1 solved:1 forced:1 i3:13 stressed:1 upon:2 revisited:1 counterparts:1 hand:1 v0:1 action:1 a2c:2 liquids:1 purpose:4 necessity:1 potentials:7 infinite:4 build:1 invariance:2 brussels:1 pogosyan:2 mazharimousavi:2 normalization:2 recent:3 relies:1 semiinfinite:1 schr:23 modes:2 well:7 analysis:2 obviously:1 convenient:1 termination:1 model:11 arising:1 obtainable:1 unified:1 manifold:2 cosh2:9 quoted:3 being:2 able:1 resp:2 obtain:4 valuable:1 reviewed:1 press:1 shape:3 hyperboloid:2 integer:1 followed:1 momenta:7 scattering:1 functionally:2 heterostructures:1 letting:1 k3:1 conjugates:1 generator:1 instance:1 similarities:1 conclude:2 had:1 except:1 theoret:4 mathematically:1 topical:1 wu:1 belongs:1 morse:1 treatment:3 solvable:10 remaining:1 momentum:1 useless:1 real:3 march:1 easily:3 read:1 comparing:1 spanned:1 eorique:1 were:1 vacuum:1 belgium:1 imposed:2 nuovo:2 theor:1 intertwined:1 semi:4 particle:6 follows:1 interestingly:1 performing:1 intertwines:1 either:3 integrals:18 δi:1 particles:1 become:3 works:1 δb:1 δc:3 gauge:1 δa:1 therein:2 www:1 because:4 functional:1 methods:4 classical:13 some:13 back:1 algebraically:2 choosing:1 proper:2 2qk:2 transport:1 happens:1 provided:2 describing:1 dimensions:4 lead:2 αa2:1 von:1 avoid:1 opposite:1 comments:1 imposes:2 select:1 provides:1 dating:1 restoring:1 inserting:1 core:1 ba:1 bb:1 bc:6 dropped:1 sixth:2 wavefunctions:6 expansion:1 natanzon:1 bp:1 although:3 2m:4 analyses:1 intense:2 tanh2:1 simpler:1 acb:1 would:4 impenetrable:1 algebraic:6 oc:4 dependence:2 o:6 ǫc:2 dγ:2 carrier:1 lipparini:1 mixed:1 introduced:3 hakobyan:1 considerations:2 a0:2 contains:1 ηc:4 presence:1 previously:1 into:3 h1:8 integral:4 bound:3 due:1 bruxelles:1 hermitian:3 schemes:1 references:4 determine:3 sov:1 operator:17 hep:3 area:1 assumed:1 springer:1 question:1 transform:1 specifically:1 pages:8 width:1 quadratic:42 bosons:1 low:1 lot:1 successive:1 analyze:1 was:3 a2:1 m0:1 function:14 hard:1 complete:1 form:11 phenomena:1 alhassid:2 but:3 state:3 localization:1 atom:1 hc:2 line:1 he:5 reset:1 made:5 compute:1 whether:1 ωs:1 ju:1 up:2 us:6 ul:1 limit:5 vinet:1 cooper:1 emis:1 similar:1 called:2 mechanics:10 ac:9 ab:1 proved:1 addison:1 defined:6 ko:1 abstract:1 turbiner:1 influence:1 general:9 globally:1 separating:1 single:1 right:1 supersymmetric:1 drach:1 commuting:1 campus:1 physical:12 again:2 functions:15 compared:1 ematique:1 nn:2 no:1 na:1 wavefunction:1 vanishes:1 ourselves:1 supplementing:2 other:4 mathematics:1 pi:1 bc2:1 conclusion:2 triomphe:1 briefly:1 elements:4 denote:1 3h:1 excitation:1 christiane:1 symbol:1 problems:3 polynomials:2 includes:1 a1:2 commutator:2 generated:2 important:1 studied:1 included:1 proceeding:2 depicting:2 structure:10 building:1 factorized:1 using:1 physics:8 proposed:1 factors:1 bca:1 together:5 4q:3 uncovered:1 equivalently:1 mass:23 parafermionic:7 n0:12 observables:1 nuclei:1 original:1 once:1
|
0705.2578.txt |@word represent:1 consider:4 funct:1 crucial:1 results:1 leads:1 proposition:4 follow:1 disk:1 muenchen:1 whose:5 inverse:1 equivalence:2 finally:2 tk:6 th:1 under:5 quarterly:1 exposition:1 analogous:1 tc:2 norm:5 applied:2 conjecture:10 summand:1 at1:1 induce:3 choice:2 corollary:2 li:2 exact:2 pt1:1 presented:3 notes:1 t2:2 t1:4 discrete:4 commute:1 small:3 anal:1 programme:1 says:1 miller:1 direct:5 sign:5 imply:1 design:2 concludes:1 further:1 reine:1 eigenspaces:1 canonical:8 even:2 established:1 section:6 bernhard:6 above:3 new:2 consisting:1 exercise:1 chose:1 degree:9 respectively:2 equals:2 here:2 desired:1 groups:2 address:2 represented:1 along:7 strong:8 differential:2 obtained:1 contradiction:3 izv:2 pick:1 quotient:2 composed:1 homotopie:1 projection:1 family:2 elaborated:1 replace:1 support:1 unit:1 use:5 would:3 analytic:2 positive:1 bundles:18 negative:1 next:1 linear:2 therefore:3 means:1 more:1 flat:19 preserving:1 elliptic:1 operators:2 mishchenko:3 curvature:8 particular:2 known:1 eγ:1 isomorphism:5 ser:1 indicates:1 recall:4 equation:2 work:1 roof:1 theories:2 values:1 den:1 lipschitz:1 following:5 proof:6 control:1 compare:2 dual:3 stated:1 calculation:2 sense:4 sphere:1 numbers:1 arise:1 end:2 verify:1 discussion:2 acts:1 amodule:1 en:10 maps:2 pure:2 classifying:1 product:7 description:3 singular:1 may:4 after:2 par:1 ronald:1 hence:4 produce:1 unchen:1 parallel:7 short:1 natural:1 twisting:4 lines:1 element:6 so:5 fundamental:1 representation:2 order:6 hom:1 reversal:1 deck:4 indeed:2 over:7 paper:3 signs:1 equip:1 satisfies:2 still:1 its:2 before:3 group:9 how:2 fix:1 hanke:8 lk:1 naturality:1 forms:2 differentialgeometrie:1 connes:3 choose:1 bypass:1 suspension:2 τt:7 main:5 maximal:1 mathai:2 bound:1 identically:2 now:6 transparent:1 represents:2 dirac:6 niversit:2 university:1 classified:2 identified:2 l2:14 each:10 traces:1 holonomy:3 map:16 ex:2 combining:1 our:12 special:1 out:3 space:3 furthermore:1 algebra:8 induces:3 douglas:2 denotes:1 replacing:1 contained:1 vector:1 geom:3 rational:3 reader:2 formula:3 fomenko:2 induced:8 math:9 shows:1 gromov:2 theory:12 exterior:1 free:2 standard:1 difficulty:1 base:1 formation:1 york:1 members:1 definition:2 applications:1 keep:1 turn:2 bstract:1 signature:10 consequence:1 think:2 first:3 pairing:2 ntroduction:1 rank:2 restrict:1 done:1 impossible:1 ont:1 illustrate:1 given:5 adjoint:1 twisted:10 construct:2 indicate:1 assumption:6 1e:3 calculations:1 dfg:1 moscovici:2 speaking:1 gives:1 statement:1 continuous:2 part:1 authors:1 representing:1 grace:1 coefficients:1 finitely:6 dans:1 zero:7 classes:9 contrary:1 recovered:1 chern:4 acknowledged:1 argument:5 curves:7 already:2 angew:1 need:1 presque:1 curve:2 tπ:1 gwdg:1 functors:1 lie:1 note:2 emphasis:1 k0:27 reparametrization:1 akad:1 allow:1 trace:3 index:18 any:1 english:1 plat:1 most:3 connected:3 class:7 tensor:1 especially:1 kk:2 tη:3 coincides:2 exp:9 kt:2 sum:7 fact:1 saying:1 thomas:7 signatures:3 show:4 trivial:2 find:1 principal:1 homology:9 fibre:3 based:5 explain:1 assertion:1 topological:1 lemma:3 only:2 equipped:3 constant:1 continuity:1 abelian:1 get:2 de:13 dx:2 dw:1 hermitian:3 boundary:1 closure:2 arxiv:2 nauk:1 contrast:1 characteristic:1 riemannian:2 kernel:1 constructing:1 exists:2 achieved:1 precomposition:1 module:9 maximum:1 connections:6 edition:1 see:3 result:7 schick:10 theoretic:3 notions:1 detect:2 µx:4 skandalis:4 µp:2 enough:1 closed:6 invariant:6 geometric:2 approach:2 terms:1 attention:1 however:3 gratefully:1 analyzed:1 amer:1 both:4 last:5 limits:1 many:4 la:1 equal:12 connection:16 context:1 uni:2 passing:1 expression:3 otherwise:1 ck:3 ci:1 ch:18 co:1 globale:1 point:2 cohomology:9 cf:3 dimensional:4 fashion:1 simply:1 bγ:22 polynomial:6 respect:5 throughout:1 blackadar:1 second:1 lect:1 described:2 transformations:1 pt:15 triviality:2 union:1 locally:1 due:1 reduction:1 treat:1 kronecker:1 algebras:7 define:2 subring:2 arises:1 corresponding:3 finishes:1 baum:4 lift:1 mail:2 c1:3 denote:2 spin:3 manifolds:1 case:7 p1:8 exponential:1 will:12 dedicata:1 revisited:1 property:4 bπ1:1 unitary:4 orientation:3 almost:5 ir:2 non:3 tφ:2 im:1 triple:3 different:3 same:1 poincar:1 complex:4 ermany:2 proved:1 finite:2 higher:4 independent:2 used:3 again:3 hand:2 uses:1 purpose:1 hilsum:4 infinite:5 invariance:7 components:1 easily:1 arising:1 dimension:3 left:2 manifold:6 graded:2 being:6 obtain:10 relevant:1 identify:1 using:3 paul:2 previous:2 contradicting:1 oriented:6 infinitely:1 conclude:2 character:2 eferences:1 discuss:1 inner:1 contractible:1 theorem:16 stable:1 transformation:4 isomorphisms:1 press:1 tensoring:1 formal:1 appearing:1 like:1 follows:2 spinc:2 arbitrary:1 multiplicative:1 reduced:1 because:7 methods:2 sequence:8 sequences:1 some:1 back:1 kasparov:1 understood:1 nigel:1 transport:7 nonzero:1 canonically:2 hodge:1 providence:1 connecting:2 provides:1 assuming:5 proc:1 refer:2 assembly:4 l1:1 weil:1 hilbert:10 injective:2 trivialization:2 working:1 algebraic:3 novikov:9 theorems:1 factors:1 higson:1 carries:2 ti:1 cmax:11 op:1 soc:1 cambridge:2 statements:1 subbundle:1 image:1 integral:1 isomorphic:1 appropriate:2 right:2 operator:17 fibr:1 spinors:1 strictly:1 there:2 live:1 long:1 low:7 way:1 was:4 function:1 sympos:1 complete:1 form:11 kaminker:1 regard:1 denoting:2 but:3 neutral:1 construction:4 line:2 true:1 pull:1 applying:3 wish:2 mat:1 smooth:5 up:2 us:2 un:1 limit:1 homotopy:9 associated:6 defined:2 cover:3 universal:4 kingston:1 linearity:1 general:6 transl:1 ind:13 dη:1 defines:1 ni:1 nk:1 no:1 mathematik:1 vanishes:1 virtual:2 disjoint:1 other:2 details:2 mathematics:1 conclusion:1 briefly:1 elements:2 star:1 bundle:35 a1:11 generated:2 allowing:1 stoke:1 sides:1 structure:2 implies:6 assume:5 dτ:1 unital:1 modules:3 ottingen:1 n1:2 starting:1
|
0705.2582.txt |@word limited:3 extrapolated:1 schlegel:1 magnetic:12 luminosities:1 tenuous:1 consists:1 flannery:2 calculate:1 tylenda:2 γp:1 presents:1 edward:2 under:2 fronti:1 inwards:3 worth:1 rise:4 connects:1 every:2 figs:14 funneled:1 jacob:1 1971a:2 beuermann:3 solution:2 shafter:1 viable:1 math:3 force:3 consistent:7 direct:3 horn:1 likely:2 multiwavelength:1 implemented:1 even:12 established:1 consequent:1 cheng:5 new:4 net:1 increasing:2 pandel:8 shocks:2 pioneering:1 1997b:2 1997a:2 envelop:1 never:1 here:12 active:1 diagnostic:4 logarithmic:10 stresses:3 study:7 changed:1 paris:1 wds:2 permit:1 dra:1 changes:3 evolve:1 9a:1 explained:1 9f:1 visible:2 rφ:1 total:4 univ:1 unit:5 narayan:17 dne:1 plot:7 would:19 noting:1 therefore:25 dns:1 m2:2 robertson:2 until:1 successful:2 berlin:1 warm:1 lord:1 must:4 md:1 tnr:2 setup:3 work:14 eclipse:1 theories:1 mt:1 itself:5 temperatures:8 mr:6 could:14 give:1 mauch:1 involve:1 indicates:3 degenerate:3 magnitudes:1 isothermal:1 end:1 provide:7 very:15 hot:9 description:1 after:24 wrong:1 mesh:3 law:3 parallel:2 effective:4 apss:1 algorithms:1 keeps:2 balancing:1 order:10 interpretation:1 over:10 vary:2 london:3 thesis:1 before:2 asymptotes:1 directional:3 better:3 fig:42 persist:1 weeks:2 overcome:1 eventually:2 l159:1 combination:4 amenable:1 zoning:1 l155:1 break:3 band:3 they:7 multidimensional:1 structural:1 represents:1 den:1 brightness:1 fisker:9 reasonable:1 each:8 side:2 mean:2 schemes:1 telescope:2 meets:2 series:1 magneto:2 1996a:2 1996b:2 comprises:1 literature:3 substantially:3 rt:1 driving:1 gradient:8 mason:4 rm:5 ri:4 outburst:32 hofmeister:3 linear:2 barrier:1 free:1 standard:5 formation:7 days:1 ism:1 f1c:1 uses:2 onto:9 already:3 primary:1 spinning:5 meshes:1 another:1 radiate:3 thick:18 similarly:2 top:1 returns:1 heights:7 needed:1 accretion:78 rates:3 listed:1 inflow:3 pasj:1 somewhat:1 siam:1 distance:5 showed:2 dredge:1 mattei:1 zero:5 kργ:1 matter:38 classes:1 stratified:1 ram:2 spectrum:4 manner:1 seen:6 seem:2 lbl:17 relatively:1 estimated:1 der:2 forces:2 infalling:2 culminated:1 though:3 object:1 viscosity:36 popham:20 extending:1 retaining:1 manifested:1 proga:1 episode:2 froning:4 flow:30 arlt:1 bracket:1 principle:1 rayleigh:8 radii:3 kippenhahn:5 just:5 situations:1 explain:6 rich:5 hoare:2 hoard:1 dn:2 do:12 above:8 bertout:1 fluid:21 watson:1 report:1 dt:3 dr:10 dp:2 runs:4 contributes:2 fields:7 ems:1 analytical:4 implication:1 respond:1 coefficient:4 zones:9 depends:2 radius:10 result:10 livne:1 discussions:1 best:2 subject:3 eres:1 capacity:1 away:4 symmetric:4 pressures:2 propagated:1 approach:2 wd:52 terms:5 nature:2 however:22 ww:1 drew:3 meridional:12 modeling:1 wx:1 suggested:5 cot:6 cup:1 heating:10 against:2 mildly:1 contribution:5 argue:1 disappears:1 monograph:1 height:14 represented:1 teeseling:5 applicability:2 qpos:2 macdonald:4 kley:15 basis:1 radiative:8 three:6 been:18 quickly:3 much:12 expected:8 obtained:2 deeper:2 attacked:1 suppress:1 corotates:1 excite:1 pringle:16 spin:7 applied:1 ais:1 aim:1 near:5 applies:1 balance:3 ix:1 equator:6 ii:1 characterize:1 savonije:3 containing:1 cools:1 suggest:2 make:4 potentially:1 several:9 independent:1 welsh:2 numerical:14 hand:2 fuse:1 hydrodynamics:2 opportunity:1 cycle:1 weakly:1 kept:3 scenario:1 contact:1 simulated:2 left:7 proposed:1 newton:2 axisymmetric:4 identify:1 yes:5 scattering:3 yet:1 previous:7 enters:1 kell:2 had:1 passive:1 spread:8 5h:1 5d:1 5a:5 5b:3 9b:1 l83:1 bands:3 disagreement:1 possible:4 possibly:4 background:1 advanced:1 atmospheres:2 temporally:1 specific:5 right:7 truncated:2 successfully:1 drags:1 dense:3 subclass:1 ubiquity:1 uma:2 cnc:1 cno:3 participation:1 particular:1 precluded:1 bold:1 rosat:2 oscillating:1 permitted:1 meyer:6 stokes:6 months:1 o:7 ensure:2 steadily:1 inogamov:5 raised:1 presence:2 marshall:1 dinshaw:1 obtaining:2 bound:1 bath:2 down:8 lies:1 raises:2 often:1 support:1 initial:3 nova:9 lags:1 gif:36 fraction:6 astrophysics:2 editions:1 was:30 form:11 forming:2 heat:8 solar:2 sustained:1 souffrin:1 prevents:1 inside:1 maximum:3 simplifying:1 balbus:3 emit:1 b1:2 originating:1 hotter:1 100km:1 abstract:1 evidence:2 proves:1 simulations:37 check:1 physical:8 no:10 agreeing:1 whereas:3 nd:2 vanishes:1 solberg:4 setting:1 role:4 ns:2 optically:26 picture:1 intend:1 models:9 kutter:1 uniformly:1 invested:2 hydromagnetic:1 variable:3 transfers:2 narayanan:2 faster:2 dω:5 assume:5 interval:1 dρ:4 godunov:1 nuclei:1 lett:1 switched:2 global:1 focus:3 hubeny:1 leads:3 roy:1 mukai:4 layers:22 nonthermal:1 dimensionality:1 depend:2 zone:4 2004b:3 2004a:8 polars:2 vel:2 adiabatic:2 kumar:1 alexakis:4 choice:1 cataclysmic:10 exact:1 cool:1 drag:1 impressive:1 solves:1 presented:4 did:3 culminating:1 leave:1 solved:4 overlaid:3 round:1 upper:3 unexpected:2 occurrence:1 l93:1 trend:1 sign:2 adds:1 remain:1 current:1 goes:1 lifshitz:4 satisfy:1 explosion:1 dwarf:28 prescriptions:1 dissipates:3 understanding:3 water:1 ρar:1 alone:1 dissipated:8 naylor:1 change:2 incoming:1 institute:2 mihalas:8 vectors:5 example:1 usually:3 hospitality:1 studies:4 spatially:2 ips:1 f6:1 quiescence:20 positive:1 regev:7 emits:6 f8:1 going:3 criteria:1 scope:1 theoretical:1 envelope:5 symptomatic:1 appendix:5 rigid:2 emitting:2 cases:12 annuli:1 compressional:1 rotational:7 car:1 modified:7 makino:1 values:17 cam:1 following:5 making:7 claim:2 figure:25 predict:1 performed:1 spanning:1 hydrogen:4 occur:2 rays:2 bhatia:1 divided:2 spreads:5 ratioed:4 criterion:8 pure:1 parameter:4 product:1 may:6 spot:1 produce:3 designed:2 data:2 efforts:1 supersonic:6 szkody:7 dynamical:8 johnson:3 ss:2 maybe:1 sp:1 su:1 cannot:5 so:15 representation:1 outflowing:2 typical:2 wavelengths:2 tagged:1 subsections:1 indeed:2 pointed:2 mainly:3 soc:3 years:1 stability:9 course:1 argued:1 still:5 observational:2 satya:2 thank:1 chandrasekhar:1 how:4 interesting:4 specifics:1 decreases:3 forms:3 dwarfs:6 constitutes:1 main:2 decades:1 instantly:2 non:13 thereby:1 evolution:8 sooner:1 hamilton:2 half:3 now:3 maxwellian:1 discuss:1 nor:1 matched:1 susceptibility:1 term:5 name:1 stabilize:2 drop:1 realistic:2 instabilities:11 instability:25 entirely:2 l149:1 domain:11 square:1 ed:3 astrophysical:2 footpoint:3 eq:17 lai:2 ultimately:3 ferland:3 3rd:1 space:4 furthermore:1 bls:1 increase:4 dominate:1 correct:2 shows:26 zniak:2 earlier:1 theory:4 state:8 mechanisms:1 possibility:2 quite:1 besides:1 ori:1 org:18 care:1 transition:5 motion:3 turn:1 place:3 first:8 intuition:1 simplifies:1 symmetry:1 omitted:1 variables:11 papaloizou:7 arras:1 stsci:1 long:10 directly:6 carry:2 ring:1 open:1 angular:34 size:1 given:13 necessarily:1 caught:3 1a:6 physically:6 1c:3 1b:3 1d:6 convention:1 white:24 cooling:1 cite:1 gives:1 way:3 mostly:1 schwarzschild:5 hut:1 released:3 deceleration:1 than:29 l44:1 future:2 viscosities:2 were:16 depresses:1 pre:1 p23:1 dynamically:3 duin:2 generalization:1 any:7 computationally:1 once:1 efficient:1 isolate:1 ideas:1 note:2 phillips:2 ideal:1 potential:2 take:3 observationally:1 commonplace:1 trace:1 opposite:1 track:1 decreasing:1 falls:1 ordinates:1 formulae:1 latex:1 especially:2 considered:1 average:1 later:2 steady:3 drive:1 mri:3 helfer:1 axi:2 typically:1 priedhorsky:1 nls:1 show:18 fifty:1 hack:2 xmm:2 specifically:2 ratio:3 zahn:2 macros:1 behind:1 analytic:1 only:15 explicitly:2 black:1 quasiperiodic:1 thompson:1 helmholtz:4 extremum:1 truran:7 simplistic:1 unimportant:2 ionized:2 nearly:2 gem:5 reveal:4 1000km:1 summary:1 miles:5 burst:1 imposing:1 relative:2 namely:5 successive:1 stanley:2 violates:1 radiates:2 ways:2 subsequent:1 review:1 boundaries:1 outside:1 radiated:6 between:14 across:2 notice:1 vertical:8 concentrate:1 virial:1 come:1 concentrated:2 many:5 region:16 according:2 called:2 enabling:1 propagation:1 concentrates:1 comes:1 among:1 color:6 period:11 lagrange:1 moreover:1 buoyancy:3 runaway:3 considering:1 howard:4 locally:1 poloidal:11 absence:1 springerverlag:1 combined:1 reflective:3 crawford:2 direction:22 enable:1 thousand:1 formed:1 6m:1 observe:2 careful:1 spirit:1 those:1 sound:5 folding:1 streamwise:1 profiles:1 shear:13 situation:2 characteristics:6 discrepancy:1 binary:2 different:6 l53:1 develop:2 formulations:1 same:17 mole:1 shakura:9 events:1 extended:1 closest:1 kelvin:5 drives:4 driven:1 devoid:1 sunyaev:10 threaded:1 modes:3 polytropic:1 roughly:1 without:2 solve:2 components:5 coordinate:2 model:33 laboratories:1 dimension:3 being:4 when:8 rest:3 oxford:1 speed:6 captured:1 transonic:2 rose:2 seems:1 parametrization:1 treatment:5 versa:1 starrfield:10 momentum:24 real:1 aspects:1 around:4 weno:1 psa:2 early:1 inflowing:2 using:4 patrick:2 reduces:3 velocities:3 serves:1 either:4 fully:4 icarus:1 stationary:1 reduced:1 imaged:1 calculated:2 kolb:2 specified:1 duration:1 matching:2 slice:1 dimensions:2 highest:2 filling:1 provides:5 restoring:1 refer:1 toroidal:9 power:2 retains:2 ttauri:1 orszag:2 exciting:1 central:2 kinematic:1 smear:1 discussed:2 develops:2 thousands:1 decelerated:1 whence:1 greatly:1 oy:1 act:1 sensitively:1 cambridge:8 burning:2 inclusion:3 spreading:6 numerically:3 dissipation:12 references:4 determine:1 heated:1 accumulated:1 technically:1 pfeffermann:1 assumed:5 there:6 start:1 low:10 stars:7 viscous:17 assumes:2 enough:7 jul:1 mnras:27 dissipative:2 longer:5 pull:1 stanford:1 ωk:4 polidan:3 emissions:2 agree:1 expect:1 strongly:3 ac:1 ab:1 ad:2 ai:1 holes:1 6b:1 deep:1 ap:2 planets:1 formulation:3 ottingen:1 gradients:3 moves:3 again:1 collin:1 field:2 valid:1 opacity:1 polar:1 briefly:1 time:20 a1:1 a3:1 important:15 a5:8 a4:1 included:3 gammie:4 bulk:1 l61:1 accretes:3 mimic:2 mass:15 nelson:1 appl:2 accreted:21 resolution:6 original:1 represent:1 lacc:6 consider:3 wheatley:1 migrates:1 follow:3 disk:130 sung:4 causes:1 cannizzo:4 ty:2 durisen:3 tk:2 th:2 td:1 case:23 far:1 iue:1 roe:2 ultraviolet:1 bubbles:1 difference:1 condition:10 steve:1 hyi:13 large:6 small:5 becker:2 midplane:2 kz2:1 ten:2 kato:3 ritter:2 tef:2 winds:2 rate:18 enhancement:1 further:5 attributable:1 villanova:6 sub:6 section:15 brief:1 thickness:3 ignition:1 outgoing:1 full:6 component:7 19s:2 hours:1 cylindrical:1 compressed:1 excess:3 directions:3 strong:6 equations:11 experience:2 amount:3 periodic:1 followed:2 marginal:1 proceed:1 distinct:1 quasi:1 glatzel:2 knigge:3 nucl:1 taken:6 belloni:3 subcritical:1 more:11 door:1 ugge:1 emission:10 keplerian:31 basically:1 stabilizing:1 known:2 foundations:1 producing:1 science:2 equation:5 centrifugal:5 klu:2 debated:2 evolved:1 hawley:1 f2:1 f3:1 impacts:2 shara:2 neglected:1 states:1 minimum:1 numbers:1 exclude:1 10kev:1 axis:2 terrestrial:2 respective:1 goal:1 rather:6 breaking:2 freshly:1 acta:1 stis:3 galactic:1 fu:2 l51:1 notre:3 derived:3 reflect:2 plane:14 heuvel:1 waves:15 fl:1 response:1 ansicke:3 short:3 jiang:2 spectra:3 ledoux:3 negligible:1 turnover:1 shaviv:13 help:2 developed:3 soon:1 ejecta:1 thermal:2 paper:5 through:10 existence:2 kinetic:4 ejects:1 its:15 rapidly:4 susceptible:3 solving:1 actually:4 late:1 detected:2 systems:16 convective:3 might:10 huang:1 good:3 motivated:1 reflected:2 framework:1 yz:1 foot:1 yr:2 riemann:2 αcs:2 always:1 labeling:1 2d:1 radial:25 found:9 characterized:1 weight:1 generation:4 energy:35 hard:2 reduce:2 idea:1 obtains:1 beyond:2 event:1 since:8 drazin:2 reason:5 base:4 imaging:1 put:1 definition:2 retained:2 rosner:3 twenty:1 consequence:1 undergo:2 eqs:1 prevent:2 relate:2 number:18 dominating:1 solvers:1 fluxes:2 temperature:21 introduction:1 leading:1 moderately:1 least:2 assumption:3 advection:1 calculations:1 compromise:1 molecular:2 observations:17 trapped:1 abramowicz:3 lynden:3 part:6 authors:1 handbuch:1 diffusion:2 king:6 kind:1 determines:3 determined:1 attention:1 toward:2 treated:2 comput:4 7b:2 7a:2 seth:1 paerels:1 headings:1 novae:7 depending:2 destabilizing:1 pa:1 lin:3 extracted:1 recognizing:1 internal:1 build:1 play:1 towards:7 patterson:8 lubow:3 reach:1 depths:1 most:14 significant:7 accreting:24 alpha:13 extremely:1 mach:7 equatorial:11 binaries:2 clear:3 cover:1 optical:18 magnetorotational:1 velocity:41 physics:5 thomas:7 phenomenon:4 carefully:1 fine:2 find:3 impact:1 causality:1 parameters:1 failed:1 factor:1 distributes:1 loeb:1 shalybkov:1 his:1 notation:1 dependent:1 udiger:2 during:24 gef:7 resolve:1 arxiv:19 common:4 compressibility:1 set:14 achieved:1 glasner:2 ara:1 see:25 sec:2 underluminous:2 close:8 outward:2 mario:1 visiting:1 smallest:1 various:1 orbiting:1 probably:1 conditions:7 available:19 recently:1 aas:1 missing:2 initially:1 interfaces:1 sole:1 spectroscopic:1 vanishing:2 interface:9 inertia:1 both:7 prescription:6 adp:1 connection:1 improves:1 context:3 baltimore:1 point:5 simple:2 corresponds:1 dimensional:13 simply:2 throughout:1 along:2 000k:5 ps:18 ensures:2 described:7 discriminant:5 due:12 strategy:1 garmire:1 reduction:1 describes:1 pg:2 pd:1 ph:2 comic:1 spirals:1 divergence:1 wheeler:1 gas:4 understand:2 representative:1 plasmas:1 fuv:5 k2:1 uncertain:1 solid:4 hillebrandt:1 while:17 replaced:2 behavior:1 engulf:1 identical:1 studied:5 averaging:1 apjs:4 rim:1 astronomica:1 grant:3 elevated:2 shorter:1 survey:1 ray:14 composition:4 neutron:3 higher:9 development:4 calculation:2 used:9 flows:4 moment:1 moving:3 purpose:2 recent:1 lower:5 analysis:1 edge:3 spend:1 press:6 intervals:1 conclusions:1 source:4 theorem:2 remaining:3 tuohy:1 format:18 evaluate:1 showing:1 imposed:2 lost:1 systematically:1 follows:6 disks:5 flux:4 continue:1 unstable:8 howell:2 accelerations:1 essential:2 spins:2 methods:3 creation:1 some:5 back:1 trends:1 added:1 δbl:2 oscillations:4 infall:6 scale:29 describing:3 decision:2 measurements:2 per:5 proc:3 balsara:20 minimal:1 ponman:2 fluids:3 run:2 ba:1 bl:61 bi:1 step:1 intense:1 piles:1 constraint:1 lasota:3 differentially:1 simulation:4 range:4 consequently:1 computational:10 into:18 within:1 nsf:1 phase:2 proportional:3 1999a:2 1999b:1 toroidally:1 question:1 fast:1 analyze:1 opens:1 compressible:2 cet:1 properly:1 quiescent:5 line:1 doubling:1 piro:11 uv:21 up:28 us:13 exploration:1 spectroscopy:1 planes:1 continuously:1 fluctuations:1 similar:9 prevails:1 constant:5 defined:5 likewise:3 influence:1 prevail:1 amounts:3 burbidge:2 priori:2 department:2 hydrodynamical:7 raine:1 chester:1 prepared:1 generated:5 kz:3 structure:20 ago:1 implies:1 vice:1 required:1 resolving:2 depth:12 nasa:3 heats:1 evenly:2 code:1 partial:2 gp:1 edn:1 results:10 existing:3 illustrated:1 eds:1 broader:1 edu:5 godon:26 perturbations:1 gm:5 compact:3 young:2 protostars:2 stable:1 include:10 indicating:1 logarithm:2 breathing:1 implicitly:1 wave:9 electron:1 wishes:1 mixing:8 entire:1 exits:1 notes:1 attempts:1 try:1 lewin:1 smaller:19 jump:1 imply:1 go:1 dynamics:7 depression:2 giving:1 3r:2 reaching:1 indian:1 poles:7 selecting:1 collins:3 advected:2 3d:1 gµ:1 exchange:1 respectively:3 leo:1 l21:2 believed:3 explore:1 objects:3 nachr:1 extreme:1 remark:1 clarendon:1 involved:1 larger:11 m3r:1 leaving:1 resulting:3 spicer:2 makes:4 involves:2 scales:1 sgr:1 apj:61 addressed:1 decrease:1 duck:1 apply:1 resolutions:2 use:11 stream:1 usa:1 remains:1 next:6 few:7 themselves:1 panel:14 f1d:1 becomes:3 transient:1 account:6 integrating:1 thin:16 tap:1 szuszkiewicz:3 process:6 slim:1 high:22 effectively:1 surrounded:1 conversely:1 gcm:1 hensler:5 delay:1 located:2 instead:2 sin:31 profile:4 physik:1 efficiently:1 1998b:1 1998a:2 computations:1 lines:1 interrupted:1 allow:2 discussion:1 evolutionary:2 hydrodynamically:2 astronomical:1 move:2 facilitated:1 mentioned:3 accrete:2 galaxy:1 regions:2 outer:14 exclusion:1 la:2 ln:2 ordova:8 laminar:1 lw:2 lu:2 degrees:3 derivative:1 euv:5 lx:2 cusp:1 material:34 landau:4 rotation:25 university:9 tran:1 concave:1 identified:1 sufficiently:2 magnitude:2 mode:7 l1:2 beneath:1 warner:4 doing:1 verbunt:5 related:2 frequency:2 static:1 sion:24 our:26 transitions:1 pesnell:2 shearing:3 out:12 m2t:1 res:2 rev:1 cause:3 red:2 frank:3 8a:1 release:1 completely:2 york:1 interaction:1 geometry:1 determining:1 latitudes:4 times:1 ω2k:1 navier:6 hence:1 reaches:2 reached:3 f1b:1 revealed:1 f1a:1 system:2 relations:1 grow:1 roche:1 their:14 intermediate:1 dubrulle:2 corotation:2 shell:1 vigorous:1 shallow:1 slides:1 too:1 simulate:1 adjusts:1 remember:1 observed:14 amplitude:1 sr:3 mauche:8 exhibit:2 enforced:1 correspond:1 corona:1 curved:1 apparently:1 lopt:2 angle:2 min:1 gravity:18 mechanism:5 instance:1 who:3 walraven:2 propagate:3 preliminary:1 class:1 parametrize:1 takes:1 proceedings:1 diagnostics:1 fact:2 unimpeded:1 atmosphere:22 supported:4 rotating:17 purely:3 ldisk:19 bildsten:10 based:3 sparks:2 produces:1 should:7 employed:2 local:3 hope:1 equilibrium:3 spun:4 slows:1 means:6 lobe:1 words:1 thomson:1 processes:4 shu:6 belts:1 luminosity:9 differential:1 comprising:1 reid:2 hydrodynamic:6 contain:1 excesses:1 pertains:1 view:1 requirement:1 computed:2 turbulent:10 geometrically:1 enhanced:2 closer:1 thermonuclear:4 brunt:1 tend:3 favor:1 written:4 boundary:113 comparable:1 jos:2 ability:1 importance:4 emitted:4 efficiency:2 swank:1 inagaki:3 hits:1 taking:4 equal:2 attributed:2 chosen:1 figures:3 otherwise:1 wade:2 detailed:2 relevant:1 co:5 extent:6 cm:8 harmonic:1 cy:2 taylor:1 coordinates:4 cs:7 table:3 cv:6 second:5 addition:1 magnetized:2 outflow:1 slowly:4 treat:1 hottest:1 define:2 annu:1 corresponding:3 scalars:1 sufficient:4 coherence:1 assert:1 astron:1 last:1 present:11 wood:1 multi:2 atmospheric:2 unlike:1 harder:1 cvs:7 value:5 supersonically:3 will:12 layer:85 ve:1 almost:3 vk:3 thus:10 surface:64 vr:17 properties:2 vw:14 orbital:2 capture:3 perhaps:1 radiation:7 cross:1 orionis:1 propensity:1 parts:3 units:2 difficult:2 practice:1 http:18 raymond:4 l177:1 corotating:2 effect:4 parametrized:1 v1:6 v2:1 v3:1 v4:1 v5:7 mech:9 off:8 nevertheless:3 com:1 well:11 sets:3 position:2 spherical:4 nv2:1 nv1:3 less:4 accurate:1 sources:1 underlying:8 adv:2 rapid:3 preprint:1 vφ:15 density:15 absorption:1 bell:3 sky:1 reasons:1 extends:6 halo:17 match:2 resolved:2 livio:10 increased:1 increases:2 five:4 premature:1 vθ:17 turbulence:17 prominent:1 necessary:1 like:4 excluding:2 mhd:1 lose:1 become:2 works:2 soft:2 page:4 therein:3 poor:1 because:14 classical:5 vortices:2 self:1 corroborate:1 convex:1 transport:10 lead:5 does:8 assuming:7 belt:6 demonstrated:1 limitations:1 pepper:1 obey:1 disentangle:1 dnos:2 stellar:31 pressure:37 stage:4 about:1 actual:1 carried:5 column:3 universe:1 langer:1 a2:1 constraints:1 pergamon:1 washington:1 lund:1 van:9 additional:4 transfer:8 lagged:1 trigger:1 inner:12 naturally:1 function:11 hp:2 but:6 astro:1 neutral:1 convergence:1 overflow:1 kraft:4 hd:1 truncation:1 made:2 evident:1 whether:2 wish:1 gravitational:5 below:1 converted:1 limit:9 problem:8 dame:3 mechanics:1 l69:1 universal:1 measure:2 eddies:1 compared:1 brandenburg:3 percent:1 subsonic:4 other:12 details:2 conclusion:1 prendergast:2 star:64 radially:1 shown:19 inherently:1 accomplish:1 astronomy:1 coupling:1 4r:1 persistent:1 rule:1 indirectly:1 tsang:2 portion:3 compete:1 richardson:16 4d:5 4b:5 4c:3 4a:6
|
0705.2583.txt |@word code:1 partial:3 consider:7 remarkable:2 rev:30 lack:1 desirable:1 results:5 gt:2 computation:2 consists:1 mnb:5 reasoning:1 virmani:1 devoted:1 whose:4 preserves:1 hold:3 terms:5 pointing:2 comunidad:1 effort:1 subjected:1 tr:33 contained:1 reductions:3 finally:2 monotonically:1 indicate:1 matlab:1 under:4 stochastic:1 analogous:1 worth:2 norm:14 ta:6 applied:1 conjecture:1 straightforward:1 orthogonal:1 very:5 than:20 choice:1 fan:1 shaji:1 experimentally:1 matrices:7 condition:12 dim:7 tra:1 turns:1 trb:1 guo:1 vector:3 section:1 eigenvalues:1 c03:1 upper:4 mn:20 disordered:2 hillery:1 ρ2a:2 imply:1 datta:1 evaluated:1 rigorous:2 further:5 canonical:1 even:1 plays:1 stands:2 invertible:1 sum:1 analogously:1 witnesses:1 above:4 new:11 direcci:1 order:1 acknowledgments:1 satisfy:2 bruß:1 full:3 simultaneously:2 measurements:1 degree:1 respectively:1 realizations:1 proc:2 here:7 understanding:2 behaviour:1 following:2 test:1 departamento:1 others:2 represented:1 appropriate:1 strong:2 respect:1 deduced:1 obtained:6 great:2 algebra:1 rigorously:1 studied:3 completely:1 eberly:1 thoroughly:1 amount:3 survey:2 action:1 proof:1 ork:1 composed:1 appropriately:1 buˇzek:1 tasks:1 useful:2 ρik:1 convexity:2 brought:1 ioannou:1 achievable:1 support:1 estimate:4 readily:3 use:3 would:2 prove:3 remains:1 positive:3 contains:1 physics:1 properties:2 few:1 ψi:8 ψn:3 therefore:15 criteria:21 taken:2 type:2 theoretical:2 more:7 bennett:2 composite:1 conclusions:1 operators:3 hofmann:1 particular:7 known:7 foundations:1 detects:4 iii:2 must:1 ρa:5 states:82 ρb:2 frobenius:1 ρi:2 recall:1 equation:2 work:1 roof:3 remain:1 values:4 believed:1 fulfill:1 arrive:2 root:1 example:1 numbers:1 point:2 locc:1 weaker:5 give:2 process:1 preserving:1 high:2 indicates:1 minimum:2 purity:2 sense:2 sharp:2 conversely:1 ijkl:1 information:7 goal:1 provide:5 verify:1 discussion:1 holds:3 feature:1 orthogonality:2 write:1 how:1 nontrivial:1 criterion:77 ciencia:1 pure:19 answer:1 preferable:1 ensemble:2 greatly:1 simplicity:1 product:8 express:1 singular:1 may:1 max:3 signature:1 derived:5 confirmed:1 applications:1 fb:7 osborne:1 designed:1 improving:1 revealed:3 lacked:1 types:1 clearly:1 natural:2 inherent:1 whenever:1 slightly:1 author:1 explicit:3 augusiak:1 su:4 stasi:1 sj:4 si:2 ones:1 algorithms:4 fundamental:2 correlation:15 representation:7 bipartite:6 operations:4 unsolved:1 words:1 indeed:1 concurrence:15 insight:1 undetected:1 paper:9 through:2 filters:1 affirms:1 mentioned:3 existence:1 still:2 its:11 before:1 derive:3 group:1 la:1 chosen:3 interesting:1 buchleitner:1 ρ2b:1 exhibits:1 actually:2 better:4 detected:8 offers:1 systems:9 constitutes:1 annual:1 mail:1 schmidt:4 them:4 good:3 greater:1 combination:1 audenaert:2 hyllus:1 introduce:1 leuven:1 they:9 now:4 discuss:1 bigger:1 easily:5 stated:1 characterizes:2 university:1 identified:2 capability:3 deficient:1 inequality:5 2m:1 eases:1 carlos:2 square:1 financial:1 aims:1 2hs:6 hard:4 idea:1 related:3 carvalho:1 literature:2 computable:4 measure:21 quantum:19 our:9 operation:1 es:2 out:4 divincenzo:4 shown:11 precisely:1 matrix:21 space:1 quantify:3 furthermore:3 since:13 squared:1 denotes:2 content:3 acting:2 conjectured:1 formula:1 aligned:1 induced:1 ri:7 math:5 shows:1 investigaci:1 theory:6 possibility:2 standard:3 clarify:1 approaches:1 improves:2 formation:3 york:1 besides:3 ρij:1 onoma:1 detecting:1 realignment:3 milburn:1 definition:2 rearrangements:1 derivation:1 fa:7 could:4 filter:2 terhal:3 aut:1 place:3 isotropic:1 universidad:3 hence:4 onto:1 think:1 first:5 separable:7 already:1 mor:2 powerful:4 rank:4 restrict:3 wash:1 set:2 construct:2 directly:1 tangle:21 open:3 hioe:1 given:14 checked:1 similarly:1 introduction:1 eqs:3 system:1 relations:3 verstraete:2 their:5 identity:1 monotonously:1 normalization:1 white:2 scheme:1 grant:1 asymmetric:1 tool:1 part:1 authors:3 x2:1 separability:17 coefficients:1 kind:3 wootters:2 determines:1 unfortunately:2 breuer:2 second:1 submitted:1 kraus:1 project:1 determined:4 contrary:3 were:1 myrheim:1 providing:3 function:2 comput:4 san:1 generality:2 remained:2 acknowledged:1 matem:1 uniquely:1 affirmative:1 chen:3 say:1 need:2 seen:3 seem:1 confirms:1 any:4 tρ:4 subsystems:10 min:3 studying:1 latter:1 responsible:1 able:1 instance:2 take:1 finding:2 so:9 smolin:3 formulas:1 relatively:1 sm:1 trace:4 normal:4 measures:5 most:2 eisert:2 said:2 analytically:1 exact:1 moor:1 considered:2 average:2 stronger:16 kl:4 takeuchi:1 principle:1 exp:2 ky:1 left:1 quantifying:2 assisted:1 fact:7 quantity:1 shor:2 particularly:2 bj:1 show:4 violation:2 spaces:1 relation:1 trivial:2 find:5 decade:1 o:7 based:5 knowledge:2 parameters:6 every:1 implementation:1 situations:2 state:35 operational:3 jan:1 failed:1 only:9 generators:4 rich:1 acm:2 attained:2 adequate:1 local:7 over:1 achieve:1 do:1 explorations:1 triangle:2 means:2 syst:1 de:11 expectation:2 dyn:1 cannot:2 aforementioned:2 despite:2 gen:3 reveal:1 increasing:3 resource:1 arxiv:2 remove:1 rotationally:3 underlying:1 li:2 common:1 analytical:2 london:1 traceless:1 view:2 2δij:1 computed:1 exists:1 correlations:6 up:1 detection:21 see:17 sec:2 result:4 discussions:1 close:4 seems:2 flammia:1 fails:1 detect:3 inequalities:1 ways:1 subsequent:1 educaci:1 mintert:2 fano:2 written:4 unable:2 cambridge:1 closed:2 between:2 invariant:4 neither:1 caves:3 conditions:6 available:3 notice:3 recently:4 ability:3 qubits:1 complement:1 transpose:3 however:18 jl:1 gratefully:1 wu:4 comm:1 key:1 cousin:1 improve:2 both:8 enables:1 last:3 desired:2 many:7 uncertainty:2 according:2 against:1 fnf:7 σy:5 σx:1 context:2 qubit:6 estimation:2 expression:1 experimental:3 otherwise:2 arbitrarily:1 detailed:1 filtering:2 cn:1 cm:56 characterization:3 simple:1 aticas:1 dimensional:1 werner:2 conjugation:1 maximize:1 moreover:4 throughout:2 considering:8 forms:1 transformations:4 basis:7 equations:2 due:1 been:13 int:2 much:1 interest:4 recognize:1 expected:1 ph:3 pi:9 pn:5 lett:13 oth:1 determinant:1 sufficient:6 coherence:1 covariance:1 usage:1 determination:1 demand:1 improved:1 lewenstein:1 denote:3 former:1 spain:1 case:19 semidefinite:1 nska:1 pacs:1 estimations:1 value:4 choices:1 will:13 euclidean:1 while:5 promising:1 situation:3 property:2 opt:2 unitary:2 tighter:2 thus:6 non:3 equal:2 ii:1 characterize:3 ij:5 im:4 il:1 cong:1 zhang:5 different:11 σz:2 suggest:1 thesis:1 cross:3 same:2 tells:1 complex:1 quant:2 widely:1 mixtures:1 several:6 evidence:1 higher:1 i9:1 clear:1 used:11 trivially:1 numerical:2 rungta:2 hand:1 levels:1 purpose:2 entanglement:76 robust:1 expand:1 recent:3 relies:2 lower:12 task:1 scenario:1 nevertheless:3 no:2 well:5 without:2 avda:1 sets:2 usual:1 julio:1 rudolph:1 just:2 less:1 being:3 generally:1 obtain:3 λb:2 λa:7 formulated:1 identify:1 thanks:1 λj:6 λi:9 eigenstates:1 previous:3 leinaas:1 preprint:1 density:10 ease:1 bell:2 character:1 exclusively:1 mathematically:1 boston:1 lets:1 interested:1 transformed:1 nor:1 complements:1 albeverio:3 transformation:1 chuang:1 generalized:1 real:1 tests:1 nielsen:1 depends:1 represents:1 devised:1 showing:1 measurement:1 possible:5 ρkj:1 entangled:28 press:3 using:11 unique:1 mod:3 loss:2 ljk:3 necessary:1 like:1 follows:1 yields:1 either:1 arbitrary:7 setups:1 reduced:1 therein:1 because:5 classical:1 madrid:4 successfully:1 some:4 experiments:2 strongest:1 examples:10 convex:4 extended:2 ourselves:3 recognition:1 orthonormal:1 dimensions:9 lead:1 esp:1 shall:1 legan:1 does:2 decomposition:3 provides:5 gurvits:1 closely:1 refer:1 inserting:1 noise:4 equivalent:2 scape:1 expansion:1 constructive:1 symp:1 pauli:1 although:10 found:5 relating:1 hilbert:5 guaranteed:2 diego:1 about:2 actual:1 recognized:1 practical:1 convenient:2 characterized:1 mixed:12 recognizes:2 efforts:1 consequently:1 bloch:9 mathematical:2 own:1 presence:2 communication:1 into:3 numerically:1 bound:16 three:1 hermitian:2 right:1 references:2 ppt:34 operator:3 fei:3 theoretically:1 existed:1 rely:1 prepare:1 assumed:1 strictly:4 there:8 question:4 transform:3 start:2 inner:2 way:5 dehaene:1 was:4 katholieke:1 slocc:2 lowest:1 vicente:3 complete:2 form:10 hs:15 brand:1 m2:4 but:6 construction:2 hb:3 ha:3 ministerio:1 compute:1 horodecki:13 whether:3 characteristic:1 bounds:14 us:2 historically:1 below:3 suitable:1 ud:1 problem:6 semiclass:1 similar:2 called:4 recalling:3 mechanics:1 cirac:1 proved:4 computing:1 defined:1 certain:6 abstract:1 specified:1 ao:1 general:8 peres:4 quantification:15 xiii:1 exist:3 inf:5 universiteit:1 check:1 constructed:3 again:2 functions:2 tarn:2 variety:1 when:13 detail:1 application:2 other:5 role:1 tij:4 plenio:2 np:1 unextendible:2 uhne:5 elements:1 ku:1 provided:2 important:2 bounded:1 maximally:6 needed:1 structure:2 implies:4 requires:1 together:2 i12:1 adam:1 time:1 observables:2 n2:2 uc3m:2 rep:1
|
0705.2584.txt |@word four:3 entropy:5 whose:4 calculate:2 under:1 pper:2 worth:1 void:76 connects:1 every:3 affect:3 voit:5 disturb:2 eliminates:1 rlin:1 heckman:4 consistent:4 direct:1 surrounding:2 likely:5 street:2 estimated:2 even:3 errors:1 excised:1 selected:3 dr4:3 above:16 new:6 increasing:3 coefficient:3 residual:3 here:9 ionization:25 refinement:1 pratt:3 adelman:2 active:1 obtained:5 study:2 approaches:1 ignoring:1 changes:2 appropriately:1 divide:2 explained:2 highly:7 total:13 unit:10 plot:1 would:27 occupying:1 noting:2 therefore:5 spike:1 until:2 must:3 abundance:7 mo:1 work:3 erg:1 erb:1 endow:1 example:4 organized:1 caution:1 supernova:1 times:4 provide:1 how:2 hot:50 adjacent:1 significance:1 hierarchical:1 description:1 replacing:1 earlier:2 confirmed:1 summarize:1 types:1 effective:3 correlation:4 acknowledges:2 order:16 wind:1 feedback:5 over:6 vary:1 expects:1 dijkstra:2 xi:1 thesis:1 before:3 fit:15 production:1 compelling:1 fig:1 easier:1 them:2 affected:1 prevented:1 break:1 effects:3 they:12 structural:1 filling:20 reasonable:1 each:9 side:3 mean:9 telescope:1 independent:2 allam:1 used:10 depositing:2 borne:1 quantify:1 mccarthy:5 re:1 adapt:1 linear:2 little:7 free:9 standard:2 assures:1 proportionality:1 estimate:2 incorporates:1 r2:4 cosmic:1 signature:1 ise:1 10h:1 adopted:3 another:1 clarity:1 illustrate:1 similarly:1 top:1 approximately:2 observations:5 hypothetical:1 draft:1 ranging:1 preheating:1 collapse:5 centered:1 peculiar:3 distance:5 zero:3 matter:5 spoiled:1 solely:1 mind:1 spectrum:11 raw:1 seen:1 ray:1 forced:1 strength:1 latter:3 responsible:1 fitting:11 causing:1 absorbed:2 shall:1 hui:2 simplify:1 calculated:4 flow:1 inferred:3 points:1 principle:1 sum:2 incomplete:1 incorporate:1 probe:1 implying:1 subtle:1 d2:12 proposed:1 sphericity:1 holder:2 explain:2 photo:2 adequate:1 dn:5 do:3 dm:10 wide:1 db:2 da:1 dt:1 du:1 ds:2 covering:1 flanked:1 release:1 mergers:5 sensitivity:2 detection:1 depends:5 radius:3 result:5 discussions:1 best:2 subject:3 simplest:3 seljak:1 approach:6 terms:5 nature:2 handful:1 weak:1 however:11 extent:1 modeling:9 improve:2 suggested:2 essentially:3 heating:11 against:1 exceeds:3 variance:2 contribution:2 radiative:1 three:1 been:5 much:2 interest:3 progenitor:1 expected:6 deeper:1 near:1 property:1 procedure:5 weakens:1 escudé:3 played:1 ii:2 disjoint:1 ig:3 containing:2 perform:1 suggest:2 make:1 intersecting:1 complex:1 several:3 evolve:1 numerical:4 hang:1 hand:5 normalization:3 kept:2 scenario:1 left:2 stringent:2 just:1 diameter:1 quasar:16 correspondance:1 thanks:1 sightlines:1 somerville:1 yet:1 previous:3 instance:1 cherry:1 regarded:2 mion:1 breaks:1 possible:9 possibly:2 background:5 clustered:3 unique:1 performing:1 arbitrary:1 interestingly:1 fcoll:3 right:2 pettini:4 statistic:1 undisturbed:1 bottom:1 comments:1 linearly:1 illustration:3 recombinations:1 filaments:1 super:12 properties:2 limitation:1 haehnelt:1 o:1 automatically:1 raised:1 presence:3 down:4 support:3 width:3 accordingly:2 way:3 was:6 lowest:1 medium:2 form:3 forming:1 verde:1 rauch:1 true:4 inside:2 maximum:4 discarding:1 simplifying:1 panels:3 gnedin:4 conserves:1 abstract:1 escape:2 evidence:4 exist:1 simulations:4 distributions:3 check:1 physical:5 ni:6 dotted:1 no:10 whereas:3 when:18 ny:2 role:1 digital:2 test:2 optically:1 picture:3 models:12 preceding:1 jones:1 younger:2 longer:1 assume:6 ferrara:1 interval:2 governed:1 pointecouteau:1 n0:6 n1:4 n2:3 global:7 row:1 depend:2 technique:1 environment:1 finally:5 monotonically:1 overproduce:2 analogous:4 choice:6 exact:1 level:4 did:1 turns:1 leave:3 discrete:1 speculation:1 upper:18 strickland:1 bajtlik:4 spectral:5 appear:3 uniform:2 current:1 43p:1 realizations:1 groups:2 alone:1 along:2 appears:2 change:2 institute:1 studied:1 spheres:1 zoltan:1 usually:1 studies:4 lowers:1 absorbers:3 extra:2 modifying:1 unabsorbed:2 fake:4 mmin:16 positive:1 scenarios:1 theoretical:2 acceptable:2 apparent:2 envelope:2 virtue:1 cases:5 clumps:3 steidel:3 local:2 constraint:3 modified:2 values:8 following:3 making:1 figure:7 predict:1 expanding:1 sample:1 performed:1 allowed:6 hydrogen:4 fortunately:1 discussion:5 pure:1 parameter:6 may:13 produce:19 lidz:1 improving:1 data:22 natural:1 explicit:1 yielding:1 ionized:18 so:5 halos:7 typical:7 wavelengths:3 indeed:5 thresholds:5 unacceptable:1 utilize:3 course:1 statistical:3 omitting:1 differs:1 cold:1 still:3 observational:4 loeb:2 derive:1 group:3 thank:1 interesting:1 vicinity:2 decreased:1 main:4 non:5 processes:2 introduce:2 scaling:2 hamilton:2 half:2 bialek:3 now:1 discuss:6 halo:12 shu:1 term:2 enrichment:1 bursts:1 weighted:1 significantly:6 gaussian:3 year:1 wavelength:17 avoided:2 eq:1 shown:1 space:4 furthermore:2 increase:11 suggesting:1 formula:6 viable:1 shows:3 quite:1 miley:1 arnaud:4 turn:2 place:2 massive:1 neglect:2 first:18 spergel:3 ignored:2 simplified:1 directly:5 angular:1 size:53 given:11 indicate:2 cooling:1 brevity:1 constants:1 iau:1 1h:2 structures:2 williams:1 gives:4 fraction:5 asymmetric:1 accurately:1 representing:1 than:19 specify:1 population:1 lnm:1 unfortunately:1 favors:1 future:3 photoionized:2 were:5 pre:9 addressing:1 reionization:5 dynamically:1 argument:1 any:6 carswell:1 note:6 take:2 collapsed:10 track:1 incidence:1 falls:1 intergalactic:3 multiply:1 conspicuous:1 latex:1 surprising:1 considered:3 average:1 later:2 implications:1 typeset:1 senior:1 typically:1 show:7 discovered:1 threshold:38 ratio:3 zahn:2 proportion:1 only:11 explicitly:4 get:1 expectation:2 satisfied:3 cannot:1 median:1 yield:1 helsdon:2 predicted:6 uncover:1 kernel:1 physically:1 relative:1 namely:1 ignores:1 uncorrelated:2 reproduced:1 ways:2 outside:1 between:19 across:1 vertical:1 analyzed:1 abramson:1 magni:1 discernible:1 efficiency:4 many:3 region:11 expression:1 nearby:1 among:3 stretches:1 associated:1 ciently:1 lyman:39 west:2 pixels:18 armus:2 formed:1 photon:1 parentheses:2 those:1 case:17 outflows:2 single:9 profiles:1 fiducial:4 irrespective:1 ization:1 ive:1 characteristics:1 lehnert:1 discrepancy:1 comoving:3 cluster:21 ambient:2 furlanetto:7 different:13 verified:1 proto:15 same:5 shifts:1 cen:3 extended:2 closest:1 driven:3 minimize:1 floor:1 roughly:5 without:4 model:26 generally:1 desjacques:3 rest:3 imprint:1 ch:1 speed:1 mcdonald:3 photons:1 except:3 improvement:1 treatment:1 disrupt:1 around:6 kirkman:1 dark:5 using:13 miralda:3 reduces:1 velocities:3 either:4 always:1 output:1 reduced:2 redshifts:4 intact:1 gross:1 kaiser:2 critical:2 refer:2 process:1 schaye:1 power:1 equivalent:1 emulateapj:1 10mpc:1 comparison:2 discussed:1 develops:1 estimator:1 cambridge:1 redshift:20 λtot:14 references:1 heated:2 mark:1 area:1 assumed:4 there:10 dispersion:1 los:4 detectable:1 low:9 bubble:34 energy:1 assumes:3 tight:1 mnras:12 volume:14 ωm:1 2003b:1 2003a:2 connect:3 strongly:3 ac:1 certain:1 preheated:1 deep:1 general:4 examine:1 ar:1 together:2 intra:1 again:1 field:1 valid:1 spatial:5 igm:9 briefly:3 includes:1 important:4 included:1 nuclei:1 crotts:3 mass:31 resolution:6 original:2 represent:1 consider:8 voids:80 program:1 mpc:8 very:5 discrepant:1 ostriker:8 sloan:2 interpreting:1 fall:1 bubbles:60 condition:2 list:5 large:29 small:11 broader:2 rate:4 further:8 attributable:1 wmap:2 gunn:1 hernquist:3 sub:12 section:6 offsets:1 version:2 fractional:2 method:1 revealing:1 tracks:1 operating:2 directions:1 equations:2 search:3 increments:2 allows:1 amount:1 formation:11 narrow:1 uniquely:1 analyzing:1 select:1 readily:1 takes:1 probabilities:1 contains:3 comparing:2 taken:1 raft:1 entails:1 more:10 flat:1 particular:2 known:4 producing:3 none:2 science:2 equation:13 remain:1 examined:1 obtain:2 excursion:1 cosmological:4 neglected:1 sphere:1 minimum:1 influenced:1 rather:2 thoul:2 explains:1 simplicity:2 overdense:1 galactic:8 derived:1 catalog:1 fi:1 spectra:30 negligible:4 dzdω:1 reservoir:1 paper:6 through:3 existence:1 its:4 style:2 rapidly:1 absence:2 good:1 motivated:5 propose:1 primary:1 bryan:7 2v:1 hereafter:1 fully:1 presented:1 radial:2 found:8 likelihoods:2 difficult:1 2h:1 contiguous:1 idea:1 expect:5 beyond:1 bility:1 initiatives:1 since:4 dominated:1 denoted:1 induced:1 issue:1 ast:1 reason:1 base:1 brightest:1 ask:1 rises:1 generate:1 definition:2 retained:1 omit:2 clump:2 probability:9 number:34 utilized:3 neglects:1 miss:1 stage:1 temperature:3 introduction:2 interact:1 least:2 assumption:3 tighter:1 calculations:1 hundred:1 listed:4 part:1 bower:2 authors:1 greg:1 treated:4 randomly:3 headings:1 dobrzycki:2 quasars:9 null:2 depending:1 self:2 added:2 reach:1 most:1 significant:3 alpha:1 kay:1 measured:1 deviations:1 clear:1 km:3 exp:5 kt:1 velocity:2 blend:1 cdm:1 relation:5 find:13 impact:13 dividing:1 duncan:4 merger:2 distributed:2 colloq:1 experiment:1 factor:20 accurate:1 columns:1 notation:1 dependent:2 hese:1 during:4 spikes:4 continuum:9 arxiv:1 investigate:2 activity:1 approaching:2 set:4 adopt:3 achieved:1 plausibly:1 see:10 individual:7 fang:2 baldwin:1 currently:1 smallest:5 various:1 available:1 recently:2 statistically:1 complementary:1 initially:1 arises:1 both:7 last:2 sensitive:2 connection:1 context:5 whole:2 point:1 simple:8 corresponds:2 hollow:1 simply:3 throughout:2 complication:2 described:1 raise:1 create:1 due:7 reduction:1 ph:3 pi:1 empty:1 photoionization:1 gas:14 exponential:14 solid:2 empirical:2 while:4 reddy:1 binding:1 apjs:3 apjl:1 itself:2 grant:3 theuns:8 sight:3 shorter:1 resulting:3 lenient:1 relatively:6 higher:13 calculation:1 weinberg:3 suggestion:2 slyz:1 recent:1 early:2 lower:8 task:1 analysis:13 edge:4 λd:8 spatially:1 λi:1 poisson:4 cut:2 conclusions:3 source:3 location:1 ruled:2 remaining:2 bin:5 showing:2 integer:1 follows:3 signal:1 flux:6 yields:1 menard:1 collective:1 methods:1 spring:1 some:11 back:1 towards:1 b0:2 b2:8 infall:1 mcquinn:1 gradually:1 scale:8 describing:1 measurements:1 per:11 connecting:1 eliminate:2 tends:1 anne:1 ponman:2 agreement:1 step:1 analysing:1 extending:1 range:20 into:12 within:8 integral:1 nsf:1 appropriate:1 shapley:3 primarily:2 steven:1 proportional:2 clustering:1 statistics:9 long:1 balogh:4 occupy:1 analyze:1 rees:1 relaxed:1 delta:3 line:8 considerable:1 2πb:1 uv:2 up:5 us:7 fluctuations:5 schechter:2 similar:5 called:2 constant:5 defined:2 metal:1 engineering:1 formalism:5 steeper:1 amounts:1 dashed:2 angstrom:2 department:2 mock:4 energetic:3 replace:1 generated:5 allowing:1 sides:3 structure:2 agn:3 independently:1 correlated:1 implies:1 physics:1 age:1 equivalently:1 nasa:1 requires:2 having:2 once:1 partial:2 illustrates:1 results:12 existing:1 steve:1 eds:1 ionize:4 edu:2 winds:20 issues:1 adelberger:3 include:3 ingredient:1 overlaps:1 ionizing:2 mixing:2 transmission:1 superwinds:1 marri:1 enforce:1 nusser:1 concluded:1 smaller:18 zh:1 fold:1 picked:1 consistently:1 3h:2 chose:1 respectively:4 adiabat:1 objects:1 focused:1 bode:1 convert:2 parameters:7 larger:15 preferentially:3 survey:2 scales:7 metagalactic:1 apj:21 decrease:3 summation:1 apply:1 use:5 usa:2 remains:1 next:3 few:5 zaldarriaga:3 themselves:1 noisy:1 historically:1 becomes:2 inclined:1 ien:1 occurred:1 rare:1 iii:1 account:3 crosses:2 sightline:1 reproduce:2 anywhere:2 obvious:1 thin:1 universe:5 drops:2 scatter:3 weaker:1 lbgs:12 high:8 effectively:1 assumptions:4 weaken:1 regions:21 forest:18 instead:1 circular:1 fits:2 light:1 separations:1 correspond:5 allow:1 divided:2 bins:1 produces:2 bechtold:2 produced:5 overdensity:11 including:3 da2:1 hii:1 galaxy:8 efstathiou:2 chosen:5 masses:1 primordial:1 choose:2 clusters:10 defining:5 pixel:9 lx:2 greater:1 outlined:1 material:1 day:1 february:2 dirac:1 university:4 identified:2 merge:2 accompanied:1 traces:1 constraints:11 related:3 our:48 out:8 galaxies:13 completely:2 york:4 likelihood:5 hubble:2 geometry:1 could:18 david:2 length:9 hence:1 intuitively:1 improvements:2 quality:1 start:1 histograms:6 relations:2 their:13 intermediate:1 final:1 dutta:1 accompany:1 completed:1 exactly:3 too:1 observed:15 boring:1 submitted:3 limiting:3 lnσ:1 lines:23 unchanged:1 curves:2 fail:1 enforces:1 need:4 clearly:1 angle:2 studying:1 mechanism:3 mix:1 who:1 useful:1 propagate:2 but:9 preliminary:1 annulus:1 neighboring:4 neutral:2 atwood:2 lowered:2 constrain:2 anyway:1 convolved:1 rough:1 determined:2 trivial:2 based:3 should:9 candidates:2 employed:1 tude:1 means:3 overall:1 joint:1 ones:1 words:1 penetrate:1 evolution:2 viel:1 densities:1 haiman:1 luminosity:1 contain:5 fixed:3 frame:1 correlations:3 operates:1 peterson:1 closer:1 tend:3 neither:1 comparable:1 cristiani:3 importance:2 120th:2 implementing:1 hypothesis:2 probing:1 distribution:51 limits:11 taking:1 equal:2 etc:1 passing:1 otherwise:1 detailed:2 adjusted:1 relevant:2 cm:2 conclude:1 cs:1 table:14 second:8 treat:1 define:3 tytler:1 describe:5 corresponding:10 bulk:1 covered:1 improved:3 present:3 value:14 choices:4 will:18 decrements:1 vh:2 vs:1 conserve:1 kollmeier:2 generic:1 radiation:2 unite:1 parts:2 largest:3 units:1 residing:2 tighten:2 practice:2 columbia:6 effect:18 ion:1 expand:1 center:2 nevertheless:2 modeled:1 well:5 position:1 usual:4 spherical:5 less:3 proximity:4 necessitate:1 sources:1 underlying:1 predicts:1 preprint:1 density:32 absorption:47 sky:2 add:1 clipped:1 fluctuating:1 increased:3 increases:2 five:1 denser:1 press:3 immediately:1 prominent:1 helpful:1 evrard:3 sizes:7 alternatively:1 δm:4 become:3 works:2 because:7 mohr:1 searching:1 growth:2 choosing:1 star:7 undetected:1 est:1 sufficiently:1 avoid:6 overlap:8 does:3 assuming:2 sdss:4 limitations:1 noise:42 obey:1 stellar:1 host:1 although:1 panel:4 about:2 actual:2 column:4 uninteresting:1 dependence:1 introduced:1 own:1 h0:1 interstellar:1 additional:5 transfer:1 smoothing:1 inner:1 suzuki:1 function:13 overlapping:2 histogram:3 astro:4 repeated:2 construction:1 highest:1 he:1 made:2 compute:4 whether:2 gravitational:2 placed:1 below:21 limit:11 problem:1 bearing:1 intersects:1 contribute:1 goodness:1 babul:2 functions:1 compared:2 percent:7 other:6 conclusion:1 repeat:1 kinds:1 zhou:1 ultimately:1 chance:1 astronomy:1 factors:5 rule:2 tightest:1 searched:1 peiris:1
|
0705.2586.txt |@word consider:2 caused:3 magnetic:3 stems:1 results:3 chaos:1 leads:2 consists:1 expressions:3 disk:3 rectangles:1 relationships:1 semiconductor:1 dimensionality:5 depend:2 technique:1 finally:1 program:1 those:1 excluded:1 under:1 tc:2 supported:1 amplitudes:1 σtr:14 far:1 springer:1 engineered:1 geometrical:3 electron:8 orientations:4 experimentally:2 emphasized:2 convexity:1 randomness:1 positions:1 large:7 lorentz:1 science:1 small:6 optics:1 measuring:1 smaller:2 disordered:1 hulst:1 haas:4 maggio:1 sin2:1 literature:1 fold:1 rate:4 enhancement:1 even:2 what:1 opaque:5 section:20 3p:1 uniform:1 above:1 lifshitz:1 international:1 falling:1 gornyi:1 3d:2 edited:1 outgoing:1 respectively:3 equals:1 here:2 objects:4 smearing:1 mes:1 represented:1 consideration:2 along:2 strong:1 respect:1 imperfections:1 box:1 incoming:1 institute:1 study:2 larger:5 scatter:1 hospitality:1 implement:1 narrow:1 makes:1 via:1 mobility:1 replace:1 obukhov:1 stern:1 total:16 gaas:2 conventional:1 prove:1 remains:1 tail:2 therefore:2 memory:1 obstacle:1 type:1 theoretical:2 reflects:1 more:1 crosssections:1 mirlin:1 incident:2 about:1 validity:1 correspondingly:3 discrepancy:1 particular:7 known:1 cases:1 involve:1 account:2 vladimir:1 integrating:1 recall:1 publications:1 averaged:2 salam:1 paragraph:1 values:3 temperatures:1 arrive:3 example:3 stimulating:1 proof:1 dettmann:1 cited:1 validates:1 high:3 sphere:2 minimum:1 numbers:1 sharp:2 axis:2 needs:1 falls:1 rather:1 feature:1 roughness:1 regions:1 very:8 parameter:5 sin:2 wave:4 mat:1 manganites:2 modulation:1 orbits:1 ball:1 klitzing:1 corrections:1 plane:5 waves:1 fk:1 fl:1 parallel:1 types:1 effective:2 light:2 grant:1 correspond:1 element:4 provide:1 cannot:1 so:5 expression:1 polyakov:2 increase:1 order:2 superscript:1 over:7 evers:2 paper:1 through:4 differs:1 still:2 its:2 fischer:1 lf:3 how:1 interesting:1 lh:1 edge:1 fig:5 pergamon:1 τq:7 non:1 greater:1 combination:1 prevented:1 universality:6 landau:1 shubnikov:2 effects:2 they:1 now:1 yu:2 discuss:2 february:1 finite:1 university:1 ensemble:2 2d:3 sufficiently:1 2a:1 specific:2 renner:1 references:1 entirely:1 side:1 characterized:3 mean:2 differential:3 mesoscopic:3 magneto:2 hard:2 reduce:1 related:1 decays:1 combining:1 quantum:17 wavelength:4 patch:1 eq:4 special:1 emerges:1 shown:2 twice:1 restricted:2 rev:5 semi:1 denotes:1 particles:6 attracted:1 sustain:1 squares:1 ref:1 occurs:1 announced:1 smears:1 olfle:1 8a:1 differ:2 free:2 formation:1 york:1 derivation:1 language:1 geometry:2 florida:1 ath:1 times:2 motion:1 length:2 specular:10 isotropic:1 hence:1 first:2 features:1 probability:1 thereafter:1 number:1 infinite:1 done:1 fast:1 directly:1 array:3 open:1 size:9 given:6 leading:1 eqs:5 system:5 relations:4 their:4 intermediate:1 rates:1 statement:1 ictp:1 academy:2 moscow:1 optical:1 somewhat:1 crosssection:3 than:7 center:2 wide:3 nanostructures:1 was:2 namely:3 limiting:1 matter:2 determined:5 contrary:2 amplitude:4 bare:1 russia:1 attenuation:2 crossover:3 randomly:6 discussions:1 πa2:1 substantial:1 encyclopaedia:1 any:3 relatively:2 strength:1 angle:7 latter:3 mechanism:1 oriented:6 extracted:2 potential:8 nanoscale:1 analogy:1 negligible:1 coincide:1 diffusive:1 aprile:1 broglie:3 beyond:1 normal:1 object:7 kugler:1 impurities:4 boltzmann:1 significant:2 colliding:1 measured:3 class:3 surprising:1 considered:1 average:1 later:1 detectors:1 part:2 electrons:4 principle:4 exp:1 fowler:1 typical:1 physics:2 sum:1 fact:1 quantity:1 ones:1 show:2 random:5 scattered:3 scatterer:12 ratio:5 knowledge:1 conduction:1 situations:1 outside:1 should:2 only:6 going:1 eberl:1 factor:1 acknowledge:2 constant:2 dl:8 dominant:1 means:1 rotated:1 de:8 beam:3 ionized:1 new:1 geometric:1 liu:1 densities:1 fields:1 arxiv:1 microscopy:1 troitsk:1 pudalov:1 whether:1 experiments:1 transistors:1 szasz:1 view:1 scanning:1 requirement:1 achieved:1 lifetimes:1 observed:2 edition:1 see:5 radius:3 result:3 enhanced:1 cyclotron:2 best:1 conductivity:2 instance:3 macroscopic:1 away:2 dmr:1 materials:2 symmetric:1 behind:1 difficulties:1 between:4 boundary:4 previous:1 conditions:1 deflecting:1 relative:2 nature:2 importance:1 notion:1 weak:2 however:2 continuously:1 vanishing:1 key:1 lengthscale:1 τtr:6 problem:1 both:1 cos:7 irregular:1 region:4 decay:2 according:1 mathematical:1 propagation:2 connection:1 dated:1 contribution:3 whole:1 experimental:1 cl:35 simple:1 unexpectedly:1 corresponds:1 semiclassical:1 directions:1 grants:1 simply:1 wider:1 doping:1 pp:1 described:2 addition:1 mounting:1 due:3 been:1 shortening:1 defined:2 much:2 damping:1 interest:3 basic:1 systems:1 obtained:3 direction:2 contribute:1 controlled:1 observable:2 quantities:2 gas:2 dramatic:1 external:1 angles:2 extinction:1 evidence:1 diffuse:4 present:2 case:7 pacs:1 solid:1 value:7 will:2 situation:1 property:2 taking:1 characterizing:1 layer:1 studied:1 orientation:2 averaging:4 von:1 thus:1 surface:4 itself:1 cond:1 cone:1 rfbr:1 etc:1 make:1 radiation:1 cross:25 same:1 weakness:1 physical:1 difficult:1 perimeter:1 independent:1 used:1 trajectories:1 effect:1 hand:1 inhomogeneities:3 levels:1 conductors:1 stripe:1 dust:1 heterostructure:1 off:3 reflection:1 changes:1 well:3 obviously:1 universalities:1 model:3 distances:1 dover:1 gainesville:1 antidot:1 superconductors:1 obtain:2 4th:1 shape:3 underlying:1 spherically:1 scattering:47 yet:1 heterostructures:2 sometimes:2 sciences:3 point:1 weiss:1 hall:1 valid:1 theorem:1 possible:1 tunnelling:1 shadow:6 advanced:1 mod:2 dimensional:1 modifications:3 τtot:2 particle:1 shapes:3 flux:4 either:1 sparse:1 arbitrary:2 disorder:7 reasonably:1 smoothness:1 scatterers:12 right:1 classical:19 absolutely:2 fresnel:1 some:1 therein:1 growth:1 scatters:1 convex:8 oscillations:3 transport:13 facing:1 scale:5 lead:1 avoid:1 exceeding:1 does:4 assuming:2 propagating:1 refer:2 illustrate:1 core:2 incidence:1 robustness:1 equivalent:1 ando:1 step:1 although:1 refers:1 conducting:1 rare:1 discussed:1 o:1 practical:1 range:3 a2:1 greatly:1 introduced:1 consequently:1 unexplored:1 presence:1 communication:1 into:1 within:2 backscattering:2 nsf:1 berthod:1 appropriate:1 accounts:1 proportional:1 antidots:2 van:3 additional:2 elastic:1 area:2 assumed:1 there:3 question:1 long:2 strict:1 kravtsov:1 describes:1 low:1 forward:5 sections:7 function:3 considerably:1 abdus:1 form:1 governs:1 fraunhofer:2 but:7 repeated:2 russian:2 true:3 partially:1 evident:1 arrays:1 prevents:1 smooth:1 work:2 placed:2 below:1 spectroscopy:1 σtot:16 fluctuations:4 distribution:2 called:1 regimes:1 mechanics:2 ac:1 adopt:1 associated:2 classic:1 ai:5 certain:2 universal:8 describe:1 condition:2 general:2 single:1 dθ:4 our:1 ing:1 dβ:1 dα:1 compared:2 paradox:1 no:4 extract:1 whereas:2 when:2 dαdβ:2 field:6 other:2 ellipses:1 spatial:3 department:1 conclude:1 may:2 superposition:1 accidental:1 semiclassically:1 distance:1 important:3 peak:2 structure:1 dω:6 assume:1 moved:1 diffraction:1 dσ:8 4p:1 intentionally:1 backward:1 original:1
|
0705.2587.txt |@word limited:1 quarks:1 gs:9 consider:4 eaires:1 forbidden:1 varying:1 hamamoto:4 results:14 four:3 eds:1 gradignan:2 woods:1 consists:2 follow:1 expressions:3 contribute:1 contributions:5 hole:16 saxon:1 tz:53 calculate:6 alamos:2 concerned:1 γp:1 γk:2 charge:7 compensate:1 those:4 th:1 under:2 include:5 worth:1 overlaps:1 division:2 amplitudes:2 presently:2 g0:2 very:8 rise:1 mg:12 wave:7 electron:1 sensitivity:1 fall:1 mixing:39 ui:5 difference:5 final:3 semiaxes:1 condition:1 common:4 illustrated:1 magic:3 level:4 louis:1 dif:1 solution:3 t0:19 hossain:1 large:4 small:7 dip:2 straight:1 configurations:3 upper:1 fect:1 smaller:6 force:2 trend:2 oscillator:6 consistent:3 estimates:3 sign:1 approximation:6 second:5 further:1 implemented:1 odd:1 zr:14 theory:1 even:7 optimize:1 developed:1 stands:1 rate:1 giving:1 diag:8 sum:7 expressed:2 d3:6 axial:1 curien:1 above:7 new:1 net:1 increasing:1 acknowledgments:1 contrast:2 coefficient:1 quenched:1 full:5 degree:1 respectively:4 component:6 residual:2 answers:1 perpendicular:1 reported:4 asymmetry:1 mev:11 them:1 ansatz:2 excess:1 active:1 slater:28 along:1 strong:3 table:12 appears:1 interpret:1 deduced:1 obtained:13 aℓ2:1 aℓ1:1 exemplified:1 noticeable:1 technical:3 involved:1 study:6 studied:2 allows:2 completely:1 resp:3 ab1:1 ineffective:1 products:1 ak1:1 action:1 symmetrical:1 myers:1 studies:1 writes:1 bk:2 composed:1 plays:3 useful:2 projection:1 condensation:2 merely:4 explained:1 compare:1 acknowledge:1 highly:1 neutrons:3 shells:2 p2:2 issue:2 optimized:2 leary:1 total:2 approximating:1 quantal:1 a697:1 use:7 takes:2 usa:1 sake:1 contains:1 finally:8 france:2 process:1 nucl:7 noting:1 therefore:9 centre:1 distortions:1 taken:3 means:1 inthe:1 assessment:1 theoretical:3 more:2 introducing:1 almost:1 ˆt:2 becomes:2 inclined:1 vi2:1 appendix:17 normalized:3 vi4:1 particular:4 known:2 retained:2 cases:5 iii:5 potential:2 must:1 choose:2 states:34 account:5 erratum:1 recall:5 work:1 protons:4 oller:1 reproduce:1 ρp:3 labeled:4 fock:14 values:19 aj1:3 following:2 making:1 root:1 example:3 address:1 performed:3 radius:5 figure:1 calculation:8 δip:3 organized:1 generically:1 acn:2 sample:1 numbers:3 legendre:1 axis:1 sir:1 eng:1 provide:2 divided:1 breaking:8 write:4 extended:1 numerous:1 lenzi:1 pure:1 dancoff:4 optimal:1 hi:1 parameter:24 fp:3 product:2 express:1 paramount:1 description:4 may:8 rm:3 after:1 space:24 treatments:1 pasteur:1 consequence:1 plane:1 negele:1 coming:2 drastic:1 evaluations:1 choice:1 meaningful:2 fm:5 types:1 ambiguous:1 advocated:1 rc2:2 effective:1 together:1 whenever:1 light:2 correspond:1 element:4 rather:4 so:6 sn:8 fundamental:1 correlation:3 βk:1 discussion:3 learned:1 typical:1 excepted:1 words:1 nucleon:4 indeed:4 pointed:1 soon:1 τi:5 interpreted:1 course:3 paper:4 including:7 affect:1 still:1 excitations:5 its:5 before:1 perfect:1 derive:1 τj:1 symmetry:10 fit:1 decay:1 energies:3 interesting:4 masses:2 footing:1 coordinates:1 b1:3 window:2 complex:2 microscopic:2 categories:1 constitutes:1 van:3 main:1 might:2 deformation:6 non:5 good:4 giai:3 practice:4 pillet:2 framework:3 skyrme:3 effects:2 they:10 focus:1 bogoliubov:3 now:2 discuss:1 easily:2 february:1 φk:1 pectation:1 nucleonic:1 orthonormal:1 applied:2 in2p3:2 turns:3 found:5 universit:2 decreasing:2 side:2 saturating:1 mean:10 heavy:1 square:3 determine:2 bentley:1 expectedly:1 series:1 energy:7 reduce:1 aβn:1 related:5 eb:2 sagawa:3 decays:2 isospin:56 ex:1 entering:2 tˆ:19 laboratory:1 restricted:1 gordan:1 eq:24 special:1 out:6 deals:1 shown:7 essen:1 kerman:1 matrix:11 factors:1 quality:2 since:9 interference:1 denotes:4 particles:3 re:2 acting:2 investigation:1 socalled:1 ajn:1 rc:4 formula:1 squares:1 ref:17 correct:1 independence:1 shows:2 benjamin:1 working:1 inert:1 tables:1 econd:3 e16:1 diagonal:10 differing:2 difficulty:1 approaches:2 ρii:1 york:1 elsewhere:1 baran:1 region:2 estimate:2 hand:4 remainder:1 care:2 r4:1 definition:2 pairs:2 interaction:24 r0:3 derivation:1 r2:4 determining:1 could:1 transition:3 iterative:1 nix:1 noted:2 turn:2 δin:3 cullen:1 δij:1 δik:1 hence:3 retain:1 neglected:1 think:1 first:11 aβ1:1 major:2 pairing:32 probability:4 striking:1 quasiparticle:1 omitted:1 possessing:1 number:25 reaches:1 set:4 dominating:2 approximately:2 quadrupole:4 flocard:2 clarity:1 open:8 hartree:13 size:1 given:11 maj:1 checked:2 strasbourg:1 their:4 introduction:1 twenty:3 eqs:5 least:2 yl0:1 great:1 needed:1 too:1 calculations:25 wilkinson:1 exerted:1 gives:2 excellent:1 shell:5 schemes:2 italic:2 mostly:1 reversed:4 exactly:1 minute:1 accurately:1 part:3 authors:2 x2:1 attempt:1 δjn:1 unrealistic:1 than:12 coefficients:2 center:1 expanding:1 relative:5 kind:1 third:1 roles:1 δjp:1 approximations:1 fm2:1 clebsch:1 submitted:1 isovector:1 annihilation:2 superfluid:1 determined:5 doubly:3 amplitude:2 maˆ:1 elaborate:1 tion:2 treated:1 γn:4 perturbative:1 exhibit:1 function:4 rewrite:1 fluctuation:2 unchanged:1 mine:1 blin:1 substantial:1 manner:1 conjugate:1 need:3 invalidates:1 occupied:2 any:4 relatively:1 abn:1 lie:2 strength:3 genuine:1 built:5 depending:1 latter:3 responsible:1 able:1 δjℓ:1 polarization:2 instance:6 k1:5 concerns:1 take:2 forces:2 negligible:3 channel:6 sect:4 circles:6 play:1 sure:1 trace:1 though:1 quote:1 sets:2 most:3 beta:1 involving:1 eight:2 letter:2 preliminary:7 phase:4 assessed:1 measured:1 class:1 conspicuous:1 consequences:1 rashid:1 considered:7 σi:2 calculated:19 request:1 order:11 kr:10 βn:3 points:3 principle:1 exp:1 subsequent:1 north:2 χn:1 bordeaux:2 usual:3 quantifying:1 χj:13 fact:5 reserve:1 precise:1 particularly:1 q40:5 show:3 violation:1 supported:1 particlehole:1 appearing:1 notations:1 bring:1 minimizing:1 solutions:2 swiatecki:1 data:2 find:2 ground:16 impact:2 o:12 based:1 knowledge:1 parameters:8 explain:1 hexadecapole:3 written:3 y40:1 should:7 moments:2 only:6 subsection:1 factor:5 admixture:1 employed:1 over:6 columns:5 do:6 dominant:3 notation:4 get:2 spurious:3 de:1 brink:1 expectation:16 soper:2 yielded:1 ones:2 reversal:2 invariant:1 during:1 him:1 holland:2 runs:1 exhibiting:1 determinants:14 conditions:1 arxiv:1 βl:2 towner:1 twice:1 investigate:3 underlying:1 cr:13 source:2 liable:1 analytical:1 through:7 view:1 body:17 etudes:1 omission:1 tation:1 reference:2 our:7 attached:1 national:1 correlations:31 j1:3 j2:2 fm3:1 observed:1 opposite:1 namely:4 unfit:1 ard:3 result:5 flatly:1 close:3 bark:1 limiting:2 ert:1 subject:1 evaluation:1 nuclear:13 review:1 currently:1 definite:1 state:32 between:13 crude:1 drawn:1 subscript:1 islam:1 approach:33 vautherin:2 available:1 comparable:1 terms:4 anti:1 nature:1 importance:8 overestimates:1 sole:1 weak:3 however:6 vanishing:1 hypothesis:1 here:12 jk:3 ac:1 come:1 barrett:1 suggested:1 reaction:1 essentially:1 last:1 limits:1 many:3 taking:2 conclusions:1 equal:4 contract:1 fulfilled:1 chosen:1 cylindrical:3 dated:1 context:2 quite:1 contribution:8 expression:4 comes:1 otherwise:3 ck:1 bhi:1 adjusted:2 relevant:2 cn:2 siii:5 conclude:3 reasons:1 ca:17 each:4 corresponds:2 proton:28 parametrization:2 rpa:7 exploit:1 differ:2 iterations:3 cs:1 respect:8 throughout:1 suppressing:1 pp:1 basis:9 addition:3 equations:1 navr:1 three:3 been:8 mart:2 int:1 reduction:1 much:1 treat:1 expected:4 tˆy:4 ph:1 pi:1 damg:3 fig:15 determinant:14 aj:3 corresponding:1 deeper:1 both:3 arcsin:1 quantities:3 search:1 determination:3 c2:2 c1:2 denote:1 spin:22 former:2 present:7 case:9 k2:6 exception:1 handling:1 resulting:6 pacs:1 solid:2 reliable:2 conserved:1 value:31 will:5 while:2 optimization:6 replaced:1 safely:1 leaves:1 investigating:1 triaxial:1 cvc:1 procedure:1 according:1 identical:4 larger:3 jℓ:1 phenomenological:2 vi:6 refs:1 vk:1 thus:4 violating:1 iv:2 ii:9 libert:1 reads:2 ij:4 zuker:1 seen:3 comparative:1 partner:2 vanish:2 2τi:1 different:4 sensitive:1 perform:1 make:4 ues:1 same:8 orders:1 selfconsistent:1 unity:3 parts:1 virtually:2 φi:67 φj:43 several:3 neutron:26 higher:5 nh:5 used:3 see:11 trivially:1 i1:4 i2:2 upon:3 effect:6 counterparts:1 possible:1 citation:1 iteration:1 moment:2 levels:1 purpose:2 changing:1 invariance:3 totally:1 expand:2 ferences:1 off:10 modes:1 keeping:1 largely:1 charges:1 whole:1 pinedo:1 well:3 physics:1 bohr:6 thought:3 theses:1 without:8 experimental:1 components:6 consistency:2 pluridisciplinaire:1 model:11 self:1 polynomial:1 left:2 r02:2 less:3 being:5 atil:1 accurate:1 obtain:3 valuable:1 sources:1 shape:3 ch:1 atomic:1 aspect:2 spherically:1 multiplet:2 scattering:1 eigenstates:1 note:4 superallowed:1 1p1h:4 density:4 point:4 character:1 except:1 simple:3 priori:6 treatment:2 easy:1 relevance:1 role:8 violations:1 mod:1 excited:1 real:4 tests:1 aspects:2 around:1 eigenvalue:2 evaluate:4 sums:3 term:7 harmonic:5 np:4 increases:1 were:2 similarly:1 vacuum:1 βpi:1 using:5 moreover:5 apart:2 necessary:1 particle:47 success:1 hardy:1 follows:3 lett:4 specific:2 yields:5 either:1 2a2:1 δi:1 simply:3 δc:1 ho:1 parity:1 satisfactory:1 right:3 change:1 truncated:1 aj2:2 creation:2 phenomena:1 cnrs:2 q20:6 understood:1 deduce:5 equivalent:3 examples:1 spheroid:3 mirror:1 predicts:3 neglecting:1 isoscalar:1 separately:1 vol:1 scale:1 describing:2 lead:1 measurements:1 overlap:2 sandulescu:1 contributing:1 ac1:2 does:2 tially:1 assuming:2 indication:1 o2:5 o1:4 refer:1 illustrate:1 core:3 run:1 contingent:1 bn:3 radial:1 tˆx:6 expansion:6 constructive:1 ar:1 step:5 bp:1 visits:1 inherent:1 cα:3 properties:8 stage:4 chapter:1 comparison:2 about:5 actual:2 would:7 ϕij:5 discussed:1 signs:1 culate:1 reduced:1 practical:1 remains:1 aℓ:2 important:11 plus:1 done:1 act:2 cos:1 ormand:2 slightly:1 quentin:5 berger:1 conserving:7 rev:10 offdiagonal:1 presence:2 jn:1 into:7 within:12 predictions:1 functional:1 due:2 assess:1 pair:8 hermitian:1 because:5 δk2:4 hubert:1 δk1:4 operator:11 amsterdam:2 binding:2 next:1 significantly:1 variables:1 rely:1 institut:1 tamm:4 assumed:2 there:3 question:2 why:1 los:2 conservation:2 way:6 ed:1 was:1 suzuki:1 opposed:1 lowest:1 ˆt2:3 singleparticle:2 complete:1 form:8 δkn:3 some:4 differences:1 but:3 gaussian:1 volume:1 magnitude:1 v0:5 underestimates:1 δkp:4 delta:2 convergence:2 line:2 ha:1 hf:10 violate:1 kℓ:2 ji:1 arranged:1 type:3 variations:2 up:2 us:3 paired:1 below:3 quantum:1 limit:5 problem:1 define:1 similar:2 average:1 expect:1 detailed:1 isobaric:3 lanl:1 associated:2 corrective:1 ln:1 defined:6 stronger:1 ak:2 describe:3 direction:1 correction:1 general:1 dashed:1 single:19 rp2:2 initial:1 trix:1 yrast:1 seniority:2 urk:1 triangles:2 constructed:1 effected:1 ni:8 functions:5 compared:3 sˆz:1 nm:1 no:6 amounts:1 extract:2 whereas:3 when:2 vanishes:1 field:12 nz:1 other:5 mottelson:4 normal:1 department:1 nq:5 bonneau:1 hydrodynamical:4 operators:9 conclusion:1 poor:2 polar:1 elements:9 superposition:1 excitation:10 problems:1 variation:10 meaning:1 a2:3 nucleus:8 cos2:1 poves:2 included:1 χm:3 structure:3 ınez:1 lane:2 correlated:5 faster:1 coulomb:23 starting:1 required:1 orbit:1 approxima:1 mass:11 χi:19 time:7 n0:1 serious:1 nuclei:36 quantity:1 requires:1 having:3 others:1 bcs:15
|
0705.2588.txt |@word limited:5 rev:4 magnetic:6 luminosities:1 four:1 parameterization:1 looking:1 under:1 updated:1 summarized:1 affect:2 voit:3 solution:1 intermittency:1 consistent:2 estimates:13 direct:3 budget:1 surrounding:1 likely:1 estimated:1 even:13 established:1 above:9 supplier:1 new:1 shocks:4 never:1 here:9 pratt:2 mev:10 clumpiness:3 active:2 obtained:7 study:1 enßlin:16 ignoring:1 launched:1 complicated:1 adopting:1 ftot:1 julie:1 counts:1 total:6 unit:3 would:29 motivate:1 dnh:7 kinematics:1 therefore:8 until:2 populations:1 hofmann:1 glast:41 prescription:1 must:1 me:1 xhe:2 mb:1 mn:1 erg:1 mp:3 henry:1 nlim:3 springel:2 example:2 indicated:1 give:4 relativistic:7 indicates:2 want:1 provide:17 revisit:1 far:2 significance:1 after:10 lat:2 summarize:4 law:5 types:1 effective:2 order:6 interpretation:1 over:3 expects:1 zel:2 daisuke:2 before:1 fit:1 somewhere:1 mcenery:1 better:2 fic:3 production:5 fig:19 totani:6 overcome:2 maximal:1 eventually:1 them:2 affected:1 band:4 effects:2 they:10 represents:2 brightness:3 reasonably:2 backgrounds:1 reasonable:2 each:6 mean:1 telescope:6 fairly:2 cmb:12 combining:1 laboratory:1 gradient:1 quantify:1 angular:1 re:1 rc:4 foundation:1 customarily:1 linear:3 written:1 surveys:4 standard:1 formation:2 detecting:2 telescopes:2 r5:3 cosmic:76 signature:1 rybicki:2 already:1 render:1 primary:9 perkins:2 restrict:1 another:1 thick:2 similarly:1 cangaroo:1 too:1 ranging:1 tool:1 took:1 somewhat:2 injected:3 requisite:1 distance:3 showed:7 second:1 matter:2 enables:1 spectrum:19 ras:12 unaffected:1 ter:1 ray:140 traditionally:1 latter:7 responsible:1 fitting:3 causing:1 forces:1 effectiveness:1 though:1 object:1 pfrommer:16 pnt:1 boltzmann:1 observation:1 flow:2 inferred:1 inoue:3 accounted:1 fitted:2 dv:4 probe:4 radii:2 radio:7 d2:1 aharonian:8 proposed:1 situations:1 rich:7 integrate:1 do:2 dl:1 dm:8 de:1 dz:5 report:1 dr:2 dp:2 fields:4 acknowledgments:1 twice:1 mergers:1 reimer:10 sensitivity:30 pohl:1 berezinsky:3 depends:5 radius:10 result:4 discussions:2 symmetric:1 pressures:1 simplest:1 µg:4 approach:8 terms:1 weak:2 however:12 wu:1 extent:2 improve:3 suggested:1 ohringer:4 compton:3 heating:1 merging:1 planned:1 exceeds:2 contribution:17 argue:2 2nh:1 radiative:4 three:2 been:3 quickly:1 much:6 expected:7 correction:1 quantities:3 maximally:1 applied:2 near:1 property:2 procedure:1 n2h:2 phenomenological:1 iv:3 ii:3 ic:26 suggest:2 potentially:4 mukherjee:2 several:11 confronting:1 independent:5 satellite:2 peaks:1 numerical:4 hand:10 weakly:1 lightman:2 reese:3 stringent:8 just:1 spherically:1 scattering:16 yet:1 previous:1 regarded:1 spread:2 trons:1 gave:1 rosati:2 insensitive:1 bands:1 iγ:2 schlickeiser:3 possible:4 colafrancesco:5 whichever:1 background:22 atmospheres:1 appearing:1 2007b:4 arbitrary:2 truncated:1 olk:5 orlandini:1 speybroeck:1 icm:19 microwave:1 iacts:13 contributing:1 linearly:1 iact:4 cnh:1 core:4 2007a:6 leptons:4 properties:3 o:5 emissivity:5 soc:1 presence:3 bound:1 down:1 lieu:2 methods:1 rely:1 support:3 kravtsov:9 fraction:6 astrophysics:1 was:2 pasadena:1 lowest:2 medium:2 form:2 offer:1 rephaeli:2 fairchild:1 emin:15 bounds:1 mth:6 fermi:1 blazars:1 later:1 shin:1 abstract:1 covers:2 evidence:2 exist:1 simulations:7 physical:2 nh:4 dotted:6 no:2 generally:1 ne:5 unambiguously:1 np:4 jenkins:2 cerenkov:3 models:10 miscellaneous:1 transported:1 fusco:2 jones:3 scharf:2 outskirts:1 pion:7 assume:4 fst:2 time:5 nuclei:2 measurements:10 ptuskin:2 global:2 focus:3 comments:1 nonthermal:18 bremsstrahlung:7 depend:3 technique:2 mahdavi:3 ωpix:5 blasi:17 cool:3 riemann:1 level:1 upper:9 work:2 trend:1 spectral:9 current:7 goes:1 boost:1 filled:1 heitler:1 address:1 supplying:1 institute:1 hydrostatic:8 studies:2 plotted:1 useful:10 feretti:4 planck:1 jan:1 ando:14 working:1 eπ:7 smeared:1 appendix:7 everywhere:2 cases:2 clumps:2 insights:1 parameterize:1 ibg:5 reviews:1 labeled:1 values:8 following:6 claim:1 figure:6 predict:3 december:1 sample:1 grasso:2 performed:3 allowed:1 distinguishable:1 rays:46 discussion:1 positional:1 criterion:3 parameter:1 map:1 product:1 may:6 max:1 applications:1 produce:6 data:5 dynamical:1 whenever:1 sr:2 cosmology:3 accelerated:6 combin:1 halos:1 definitions:1 typical:2 indeed:6 thresholds:1 mainly:4 years:1 tth:13 lss:3 statistical:1 clumping:3 cold:1 still:5 observational:4 derive:2 thank:1 interesting:2 decreases:1 offers:1 ours:1 non:6 evolution:6 scaling:1 now:1 discuss:3 halo:5 equality:1 january:1 drop:1 possibilities:1 realistic:3 significantly:3 ee:8 kang:1 astrophysical:1 year:2 wavelength:1 ev:2 ep:6 shown:7 space:3 furthermore:1 increase:1 collisions:7 formula:3 dominate:2 viable:1 shows:7 earlier:1 theory:1 mechanisms:5 quite:5 california:1 reacceleration:1 e4:1 derivation:1 arnaud:2 motion:1 turn:2 place:7 massive:2 neglect:1 first:4 origin:4 ophiuchus:3 long:3 directly:6 xp:83 open:1 γray:2 size:4 given:17 indicate:5 cooling:10 gives:1 mostly:1 dolag:6 accurately:2 holder:4 than:31 gottl:2 future:6 hoekstra:1 were:2 pre:1 generation:1 argument:2 any:3 conversion:2 efficient:1 note:6 potential:3 take:1 strengths:1 l111:1 multiple:1 norman:2 investigations:1 sherman:1 neutrinos:1 beta:1 printed:1 multiply:1 proxies:1 probes:2 latex:1 especially:4 average:9 adopt:8 implications:3 typically:2 quantity:5 precise:1 show:13 bright:2 threshold:10 injection:7 ratio:4 enough:3 only:7 explicitly:1 equipped:1 sensitivities:10 gev:28 get:2 truly:1 cannot:2 murray:1 radiations:1 secondary:11 yield:2 predicted:1 ignored:1 relative:2 ignores:1 αp:49 detect:1 extragalactic:6 outside:1 αe:15 between:19 multiplied:1 vertical:1 concentrate:1 coma:11 virial:1 suppressed:2 many:8 region:20 2αe:1 comes:1 nearby:15 period:1 jets:1 pole:1 constant:4 intracluster:2 capable:1 bradaˇc:2 absence:1 enable:2 radiates:1 photon:10 dramatic:1 qic:1 former:4 those:5 case:23 stacked:2 profiles:2 pointsource:1 discrepancy:1 comoving:2 cluster:57 bias:5 technology:1 different:8 same:11 regime:4 week:1 investigated:1 constraining:3 sunyaev:2 totally:2 govoni:2 relies:4 eventual:1 intermittent:1 minimize:1 motions:1 solve:1 components:3 model:12 laboratories:1 charged:4 when:5 relevant:6 photons:14 conclude:2 improvement:1 interested:1 treatment:1 samples:1 momentum:3 around:3 psf:4 tribble:2 dark:5 mon:1 using:15 accepted:1 mod:4 particle:1 either:1 moreover:2 images:1 energetic:2 sugiyama:2 conservative:1 critical:3 provides:3 measuring:2 markevitch:1 power:11 equivalent:1 biases:1 ratios:2 comparison:2 central:4 discussed:2 sensitively:1 gabici:6 redshift:13 image:2 numerically:1 references:5 area:6 assumed:6 there:9 dispersion:1 start:1 detectable:1 low:8 cisely:1 dσpp:3 σt:2 tspec:1 mnras:21 multiplicity:1 ωm:3 emissions:2 regimes:2 detailed:4 metzler:2 taylor:2 contributors:1 certain:3 aj:2 general:4 examine:1 file:1 formulation:1 gradients:1 gruber:2 tight:5 caltech:2 spatial:4 pointecouteau:2 deviation:2 briefly:1 a1:2 a3:1 a2:1 a4:1 curve:3 ucmb:2 mass:53 resolution:2 original:1 consider:6 pth:5 caused:1 astron:1 konopelko:1 expressions:1 albrecht:2 diffuse:1 th:2 te:2 activities:1 mpc:7 very:16 czoske:1 ichiro:1 ultraviolet:1 difference:1 treating:1 list:2 applicable:1 large:12 small:4 becker:2 rate:2 further:1 steadystate:1 nbg:9 tev:6 mπ:4 hernquist:1 sub:5 section:13 fractional:6 method:3 loose:1 component:11 ranges:3 inverse:3 strong:3 mattox:1 losses:1 amount:1 reaccelerated:2 via:1 requiring:1 comparing:1 taken:3 minor:2 more:22 flat:1 emission:6 particular:2 known:2 producing:2 positrons:6 dep:1 science:1 equation:12 protons:23 dee:1 history:1 ions:4 compare:2 cosmological:12 stacking:11 neglected:1 states:1 collision:1 minimum:3 numbers:1 information:1 needs:2 thiemann:2 rather:4 clarke:2 ryu:2 explains:1 fp:3 galactic:3 wiley:1 derived:1 catalog:3 waves:1 short:1 parameterized:1 negligible:4 specifying:1 inhomogeneity:1 grandi:1 dzdω:1 help:1 soon:2 thermal:17 paper:3 through:6 existence:1 kinetic:1 avenue:1 its:4 style:1 rapidly:4 energies:16 l73:1 resort:1 detected:3 systems:1 might:9 good:1 yp:23 inelastic:1 easily:1 hereafter:1 always:1 capability:2 2e:2 radial:10 found:2 characterized:1 accelerator:1 hadronic:2 energy:59 hard:7 reduce:1 brunetti:5 extended:10 expect:1 astroparticle:7 measurement:3 beyond:1 dominates:2 since:4 projected:1 dominated:4 issue:1 occurs:1 foreground:1 upon:1 reason:1 imaging:2 deπ:4 pairs:2 launch:1 consequence:1 mazzotta:1 relate:1 number:11 fluxes:2 temperature:14 introduction:1 interact:1 least:1 assumption:3 observations:13 ncl:8 authors:2 focusing:1 petrosian:2 determined:1 treated:2 ages:1 concentration:1 confirms:1 orders:1 depending:3 lim:10 m200:14 most:6 significant:5 measured:8 kb:4 clear:1 km:1 electrons:33 exp:1 velocity:1 physics:3 particularly:1 scattered:1 degrades:1 relation:11 find:4 parameters:6 merger:3 less:4 subsection:1 factor:9 accurate:1 dominant:8 pions:6 during:1 resolve:1 arxiv:2 investigate:2 dovich:2 activity:1 set:1 achieved:1 plausible:1 ara:3 see:9 individual:4 close:2 forthcoming:2 ritz:1 currently:4 various:5 recently:1 both:4 dahle:2 improved:3 sensitive:2 whole:3 experimental:1 nonrelativistic:2 simple:3 sky:7 corresponds:4 proton:8 coincidence:1 simply:3 throughout:2 pp:9 described:1 rasia:4 due:13 pe:1 ph:3 wavebands:1 sievers:2 precision:1 systematic:4 breitschwerdt:2 p2:2 uncertain:2 solid:6 ǫj:2 kronberg:3 empirical:1 evaluated:1 while:10 identical:2 shorter:1 vikhlinin:7 widely:1 relatively:3 higher:5 used:5 comprehensive:1 strength:2 purpose:1 lowenergy:1 keshet:4 stack:1 recent:5 lower:2 analysis:3 concrete:1 calibrated:1 observed:4 shape:4 intervals:1 miniati:6 turbulence:2 regardless:1 tables:1 conclusions:1 ee2:1 signals:6 source:38 lacking:1 forman:1 like:6 follows:3 signal:1 flux:55 yields:2 essential:1 often:1 some:3 b4:1 understood:2 b1:1 b2:1 b3:1 scale:6 affects:1 shall:1 l11:1 per:7 smail:1 atoyan:2 veritas:1 bj:2 constraint:7 range:7 gamma:4 cutoff:1 into:8 within:8 integral:2 lensing:3 primarily:1 steven:1 proportional:4 uncertainties:3 classical:1 extremely:1 fast:1 considerably:1 gammaray:1 relaxed:1 line:8 characteristic:3 up:5 continuously:2 similar:6 ub:2 isobaric:5 associated:1 defined:2 detectors:3 redshifts:6 duration:1 diverse:1 steeper:2 dashed:7 points:1 nat:1 confine:2 kitayama:2 provided:4 generated:2 structure:6 independently:1 implies:3 neill:2 age:1 required:1 resolving:1 equivalently:1 dot:1 requires:1 having:1 once:1 code:1 results:5 edu:2 contributions:1 ebeling:1 excluded:1 include:2 dramatically:2 sarazin:2 ρth:13 wave:1 electron:8 entire:6 magic:1 shock:6 smaller:15 compensated:1 biased:3 imply:2 enclosed:3 λcdm:2 index:10 abell:3 respectively:4 4πd2l:1 growing:2 objects:1 expansion:1 consideration:1 z1:3 z2:3 extreme:2 whipple:1 convert:1 giovannini:2 larger:9 leaving:1 survey:3 σeff:3 scales:2 apj:31 m2π:2 use:11 asymptotic:1 usa:1 next:1 few:6 bethe:1 upcoming:8 becomes:4 laroque:3 iii:4 account:1 ρg:1 integrating:2 averaged:2 reproduce:1 ρp:11 scatter:3 point:22 weaker:3 process:7 high:11 effectively:2 lorentz:1 egret:5 b5:1 instead:2 profile:17 kneib:1 fits:1 efficiently:2 introduced:1 computations:1 lines:1 correspond:2 nonradiative:2 element:1 lγ:7 γrays:1 produced:9 overdensity:1 including:2 galaxy:19 outer:2 decay:8 ln:3 masses:3 estimating:1 primordial:1 latitude:1 clusters:98 euv:4 pixel:4 lx:3 greater:1 practice:2 mention:1 day:2 february:1 kpc:3 traces:1 l9:1 related:3 frequency:1 variety:1 measure:2 jagged:2 our:3 out:6 m2p:2 maximized:1 m2e:1 cause:1 integrated:1 interactions:1 galaxies:5 york:1 interaction:1 re2:1 could:6 times:6 hence:3 south:1 christoph:1 powerful:3 precisely:2 unknown:1 relations:2 their:6 accretion:2 bonamente:1 interests:1 shell:1 sreekumar:5 outline:1 detection:10 submitted:1 limiting:1 function:22 curves:1 unlikely:3 need:1 st:2 acceleration:6 min:2 studying:1 able:4 fxp:7 mechanism:5 so:1 detector:1 borgani:2 accuracy:2 unless:1 advances:1 r200:1 volume:5 stronger:1 diagnostics:1 constrain:12 fact:1 supported:1 sze:17 based:9 should:8 virgo:6 ambiguity:1 local:2 equilibrium:3 bcmb:5 handle:3 quantified:2 klypin:2 joint:2 words:1 thomson:1 nearly:2 processes:5 densities:2 haiman:2 luminosity:10 differential:1 navarro:2 experiments:1 qe:4 biermann:3 fixed:1 view:1 multiplying:1 computed:1 jubelgas:1 intensity:5 below:3 superb:1 xray:1 state:2 difficulties:2 boosts:2 neither:1 cosmicray:1 variability:2 comparable:1 joy:1 efficiency:1 reproduces:1 key:1 probing:1 kev:11 observable:1 limits:14 komatsu:4 figures:1 temporal:1 unclear:1 cm:2 cl:1 ca:1 cd:1 cx:4 table:13 ensslin:6 cv:1 addition:8 cent:4 magnetized:1 define:1 field:5 corresponding:4 leptonic:1 mail:3 c3:1 c2:9 c1:1 present:5 c4:2 multi:1 atmospheric:1 unlike:2 harder:2 value:1 will:12 ultra:3 almost:3 thus:19 surface:3 weighed:2 situ:1 perhaps:1 radiation:9 cross:4 unity:1 largest:1 units:1 gets:1 infer:1 difficult:2 extention:1 interscience:1 effect:3 v2:1 femiano:2 concordance:1 off:2 center:3 ingredients:1 well:15 perseus:5 sets:1 comparisons:1 latest:2 spherical:1 heavily:1 loeb:8 obtain:9 sources:8 distant:5 predicts:2 hess:1 preprint:2 density:41 carilli:2 smith:2 divided:1 resolved:4 sonic:1 tests:2 ρc:3 five:1 know:2 tcmb:3 immediately:2 prominent:1 loss:3 helpful:1 evrard:2 lose:3 become:3 nucleons:3 kawasaki:2 r500:20 therein:4 because:10 mohr:2 nagai:14 transport:1 broad:1 setti:2 magnitude:1 masked:1 assuming:3 waxman:8 disentangle:1 ober:2 pressure:38 although:6 cγ:6 about:4 actual:1 extension:3 universe:5 dependence:7 important:8 constraints:30 h3:1 h0:1 van:1 justifying:1 overestimate:1 inner:1 synchrotron:7 but:15 hu:2 astro:3 neutral:4 highest:1 he:2 count:6 made:1 compute:3 whether:2 gravitational:4 smooth:3 flim:10 placed:1 iyudin:1 decays:13 limit:8 distribution:20 int:2 universal:1 contribute:4 pix:11 carlstrom:3 babul:1 dawson:1 ing:1 qγ:4 compared:6 calibration:1 other:13 details:1 gas:13 astronomy:1 exposure:4 diagnosis:1 4e:1
|
0705.2589.txt |@word limited:3 gai:1 similarity:1 dynamic:3 four:2 facilities:1 tenuous:3 preface:1 consists:2 whose:1 calculate:1 extrapolate:1 under:12 lehtinen:1 downstream:1 rise:1 upstream:1 overcomes:1 elevations:1 school:1 dominate:1 vibrational:1 investigator:1 calif:1 viable:1 vector:4 differentiates:1 enhance:1 consistent:4 estimates:3 direct:5 unpolarized:2 budget:2 feasibility:1 surrounding:1 likely:4 chen:1 estimated:3 even:8 established:1 selected:1 above:20 new:5 net:4 increasing:1 consisting:1 coefficient:4 here:10 ionization:19 mev:4 mer:1 active:1 path:1 dry:1 rests:1 study:1 advantages:1 changes:1 diameter:2 projection:1 stray:2 highly:9 achievable:1 neutrino:8 total:15 univ:1 unit:3 plot:5 quasi:3 would:2 negative:2 distributing:1 therefore:3 m3:1 m2:2 type:1 los:2 populations:2 curvature:1 berlin:1 excellent:1 aligned:2 must:4 abundance:1 springer:1 room:2 mm:5 work:2 roof:2 dubbed:1 suggestive:2 emitters:1 example:4 transition:7 indicated:2 give:1 relativistic:7 implementations:1 indicates:2 absolute:1 argonne:5 end:2 hoc:1 provide:5 auger:4 feature:1 how:3 hot:3 instrum:1 gate:1 after:8 confirmed:5 lab:1 ultrahigh:1 modest:1 gaisser:8 law:2 parallel:2 constants:1 attempt:1 hebert:1 recombination:1 complexity:1 menlo:1 correlation:6 order:27 triggering:1 over:21 satisfied:1 secondaries:1 before:3 fit:1 directional:1 fiz:1 expectations:5 better:1 production:5 compelling:1 fig:34 overcome:1 maximal:1 them:2 affected:2 combination:1 prevented:1 band:20 effects:16 they:7 oxygen:3 backgrounds:6 kalashev:2 each:15 feeds:5 side:3 mean:3 telescope:3 series:1 attenuation:4 laboratory:6 extract:1 network:1 crucial:1 rd:1 rf:5 rg:1 weighted:1 medicine:1 rm:1 linear:9 free:10 beatty:1 formation:1 corrects:1 estimate:3 uhecr:19 logging:1 created:3 cosmic:15 corrections:2 speeds:1 rand:1 already:1 features:1 primary:9 thereof:1 channels:3 another:2 radiate:2 electronic:1 similarly:2 top:10 approximately:2 steradian:1 observations:16 john:1 pulse:3 honolulu:2 horn:4 begins:1 distance:11 hillas:8 target:4 second:2 shower:89 classes:1 5mm:2 kte:1 1n:1 acquisition:2 rad:2 spectrum:11 raw:3 seen:5 ray:11 absorber:4 strength:5 convenient:1 responsible:1 calibrated:1 absorbed:1 blue:2 though:3 astrophysics:1 extending:1 cronin:2 phase:8 glow:1 constancy:1 observation:8 calculated:1 tsys:2 detectors:4 doe:2 points:1 tech:1 poynting:2 sum:5 dot:2 saying:1 random:1 implying:1 radio:17 incoherently:1 earth:2 layout:1 proposed:1 spite:1 arpa:1 adequate:1 do:9 reconstruction:1 di:2 stot:1 de:3 db:3 watson:2 report:2 du:2 ds:1 µ2e:2 fields:4 emi:2 traversed:1 shots:4 scraping:2 observer:1 sensitivity:1 λd:6 alterations:1 observed:25 depends:1 radius:4 result:2 optimum:1 best:2 techniques:4 downconverted:1 unable:1 µe:6 drawn:1 terms:1 nature:4 modify:1 handful:1 weak:6 physicist:1 contamination:2 improve:1 received:3 uncertainty:1 against:1 receiver:5 contribution:1 argue:1 appeared:3 excess:3 conference:1 proceeded:1 haverah:1 shigeru:1 radiative:3 three:1 been:8 commission:1 much:10 interest:3 basic:1 expected:14 entered:1 suppress:1 coherent:21 doubts:1 air:54 employ:1 dept:2 near:7 property:1 seven:1 tions:1 ii:1 il:1 exterior:1 elevation:2 containing:1 cools:1 make:4 any:12 complex:1 potentially:2 filtered:2 several:16 grows:3 independent:4 satellite:4 peaks:2 rain:1 subgroups:4 weakly:1 thz:1 scenario:1 ne2:1 simulated:1 fermilab:1 left:4 protocol:1 just:2 bandwidth:2 followed:1 yet:2 previous:3 adding:2 burns:1 rosenberg:3 candidate:4 had:1 iω:3 evidenced:1 plasma:35 gave:2 insensitive:4 bands:1 disagreement:1 possible:9 possibly:1 background:10 unique:1 singh:1 performing:1 unnecessary:1 detections:1 steps:1 valence:1 cooled:1 right:2 proportionally:1 isotropy:1 debye:9 precautions:1 bottom:6 electromagnetic:3 unavoidable:1 microwave:32 track:2 linearly:3 yields:1 core:3 columbus:1 elucidate:1 corp:1 powerlaw:1 properties:1 stokes:1 aerosols:2 months:3 stecker:1 bolometric:1 efforts:2 slightly:1 emissivity:4 statements:1 presence:5 bound:1 down:2 mbr:42 altitude:3 initial:12 class:1 kuzmin:3 way:2 resulted:1 was:34 medium:1 form:2 attempted:1 removes:1 content:2 removed:2 true:1 arrays:5 inside:3 attached:1 maximum:7 tucson:1 originating:1 disfavors:1 covers:1 evidence:5 simulations:4 accounting:1 distributions:5 indirect:3 physical:1 dotted:1 floor:5 whereas:3 nc:1 when:4 ne:14 ng:1 role:2 investigations:1 test:1 ns:19 picture:1 models:3 discharge:3 longer:2 corresponding:2 dτ:2 interval:1 beamed:3 together:1 reception:1 time:25 n2:5 chain:1 global:1 focus:1 leads:8 bremsstrahlung:21 depend:2 semikoz:1 zone:1 circ:1 technique:3 passage:4 charge:5 digitization:1 determinations:1 analogous:1 ergies:1 me:3 advantage:2 frequencies:1 cool:1 clouds:1 level:18 anisotropy:3 steeply:1 wakefield:2 cosmogenic:4 leave:1 pursue:1 upper:8 unexpected:1 trails:1 prediction:1 cost:1 scarcity:1 targets:1 spectral:1 adds:1 appear:1 shares:1 current:13 sequential:1 international:1 filled:1 temperatures:1 elbert:2 teshima:1 dissipates:1 understanding:3 address:2 alone:1 along:10 appears:5 change:1 box:3 resonance:3 noticeably:1 studies:2 plotted:2 emerge:1 problematic:1 marked:1 designate:1 plots:1 synchronized:1 positive:1 predictions:1 tightly:1 criteria:3 scope:1 associated:4 msa:1 outputs:1 apparent:4 emitting:1 cases:3 effort:1 fly:5 rotational:2 oscillator:1 modified:1 values:4 following:3 modifies:2 thicknesses:1 nearest:1 gzk:9 figure:10 arise:1 sample:8 weighting:1 performed:4 coincident:1 sharp:1 occur:2 rays:3 discussion:1 oscilloscope:1 submillimeter:1 criterion:2 pure:1 optimal:1 parameter:1 economy:1 influenced:1 may:15 max:1 produce:4 snr:2 designed:2 improving:1 destructive:1 data:23 grow:2 stress:1 johnson:2 yielding:1 ghz:12 cascade:1 cannot:3 so:3 block:2 typical:4 thresholds:1 years:1 stability:1 course:2 experiments:13 statistical:2 still:9 blocked:3 observational:1 monitor:3 cleanest:1 methodology:3 decreases:1 window:2 coordinated:1 2mm:1 decades:1 non:8 views:2 processes:7 introduce:2 scaling:14 sω:2 qualified:1 now:9 maxwellian:5 discuss:1 nor:2 term:8 drop:2 greisen:2 possibilities:1 realistic:1 entirely:2 square:4 prompted:1 astrophysical:1 year:3 ev:20 shown:16 watanabe:1 factors:5 zayyad:1 furthermore:2 interference:3 increase:1 collisions:9 contained:1 investigation:3 receiving:1 correct:1 shows:12 earlier:1 theory:1 mechanisms:2 possibility:3 unwanted:1 org:1 card:2 e2:3 watts:1 derivation:2 impose:3 motion:1 turn:2 think:1 first:7 origin:4 xi:2 symmetry:1 symbolic:1 directly:5 array:23 custom:1 open:2 angular:2 size:1 given:11 necessarily:1 checked:1 structured:1 indicate:4 cooling:4 chem:2 convention:1 gives:3 fraction:4 mostly:2 glushkov:1 accurately:1 transverse:3 released:1 x2:1 representing:1 than:15 coefficients:2 population:2 wide:1 television:3 stanev:2 effective:2 favors:1 require:6 transferred:1 future:2 were:7 cards:2 correction:1 dash:4 commissioning:1 albedo:1 conversion:2 fpga:1 general:3 note:5 equipment:1 goodman:1 potential:3 take:1 interior:2 strengths:1 channel:1 normal:1 probed:1 incidence:1 neutrinos:4 falls:1 intergalactic:1 successive:2 pair:4 analytically:2 wireless:1 especially:1 considered:1 average:7 later:1 steady:1 aerosol:1 typically:3 laws:1 precise:2 shot:2 show:3 threshold:14 ground:12 vpol:2 ratio:3 proportion:1 enough:3 junior:1 only:9 going:2 black:1 parabolic:1 gev:3 get:1 designated:1 expectation:1 ionized:3 nearly:1 conjunction:1 secondary:3 prime:1 regarding:2 wiener:3 yield:5 summary:3 predicted:1 subatomic:1 detectability:4 lofar:1 relative:7 uncorrelated:3 lnb:3 extragalactic:1 subsequent:4 definite:1 outside:1 jth:1 radiated:7 between:8 across:1 arrival:1 multiplied:1 vertical:1 receivers:2 jr:1 awards:1 analyzed:2 jetp:1 pixels:1 installation:1 σm:5 many:5 region:5 propagation:3 duty:4 among:3 filtering:4 period:4 sampling:2 moonless:1 considering:1 detected:3 collided:2 deposited:2 combined:1 prototype:8 peaking:1 direction:2 enable:1 thousand:3 photon:5 observe:4 coherently:4 careful:1 those:3 case:22 sommers:2 developing:2 intimately:1 promising:1 zenith:1 characteristics:2 ambient:3 technology:4 different:8 verified:1 same:9 epoch:2 lith:1 events:17 validate:1 relies:1 modes:1 largely:3 no:9 roughly:3 severe:1 without:4 components:8 model:4 laboratories:1 charged:1 summer:1 being:1 speed:3 sampled:1 trigger:6 photons:7 dicke:1 mirrored:1 improvement:1 lett:7 samples:3 extensive:3 momentum:6 scheduled:1 around:2 phelps:1 thermalized:1 raizer:1 sums:1 early:4 coaxial:1 using:13 particle:17 velocities:4 yearly:1 chamber:17 either:6 output:1 stationary:4 reduced:1 kolb:1 respect:4 duration:1 energetic:1 provided:1 slice:2 dimensions:1 recorded:4 chips:1 critical:2 provides:1 propagating:2 o3:1 o2:3 power:23 equivalent:4 notable:1 biases:1 comparison:1 central:1 origins:1 oh:1 island:1 practical:1 tremendous:1 km2:1 neighbor:1 underway:1 amber:21 takeda:2 image:3 numerically:1 accounts:1 determine:5 accumulated:1 weight:1 log:1 area:3 removing:1 there:13 dispersion:2 phasor:1 detectable:4 low:8 complete:2 regard:1 cycle:4 impedance:1 applying:1 improved:3 embedded:1 stanford:6 systematics:2 farfield:1 emissions:1 regimes:1 strongly:5 ae:2 ad:1 describe:3 moved:1 resultant:2 reliability:1 riding:1 neutrals:2 az:1 cables:1 antenna:10 field:9 spatial:2 forcing:1 immunity:1 gaining:1 separate:3 hardware:1 important:4 peak:2 building:1 calorimetry:5 curve:6 protheroe:2 mass:1 appl:3 decoherence:1 resolution:5 cpu:3 external:5 represent:1 monte:1 sci:1 consider:1 caused:3 lack:1 dish:5 follow:2 duplicated:1 kowalski:1 referring:1 removal:1 tail:7 program:1 te:4 mpc:1 very:5 pcoh:1 laser:1 al2:1 condition:4 cable:1 damped:1 large:6 sand:1 small:5 neighborhood:1 rate:2 design:1 perspective:1 further:3 what:2 nonlinear:1 clock:1 sun:1 section:11 lawrence:1 thickness:2 abs:1 abu:1 method:2 contrast:3 full:4 component:7 hours:1 tracks:2 cylindrical:2 operating:2 relaxation:1 hast:1 strong:7 observing:5 search:2 ahead:1 allows:3 extremes:1 proportionality:2 via:11 depart:1 requiring:1 transit:3 establish:4 readily:1 eye:5 seckel:1 contains:1 finally:1 nucl:2 taken:4 more:11 diamond:1 division:3 pisma:1 emission:84 impulse:5 varying:2 known:6 mounted:1 producing:4 commercially:1 evolves:1 endpoint:2 shielded:1 equation:8 remain:2 backgroundsubtracted:1 ions:6 compare:1 impacts:1 stated:1 states:1 collision:6 minimum:4 attain:1 sense:1 concordant:1 lacks:1 axis:4 information:3 rather:6 downgoing:3 maps:1 reject:1 conceptual:1 ensemble:1 ζc:4 wiley:2 derived:4 mapping:1 plane:2 buffer:2 coming:1 develop:1 horizontal:3 readout:2 shortcomings:1 short:2 departure:2 parameterized:2 extrapolation:1 fundamental:1 microseconds:1 parameterizes:1 help:1 developed:3 soon:1 radiators:1 thermal:17 through:14 pane:4 kinetic:1 suffer:2 its:7 rapidly:3 energies:7 l73:1 actually:1 late:1 absence:2 pci:4 argentina:1 might:1 alter:1 good:3 motivated:2 uhm:2 anticipated:1 walls:1 inelastic:2 easily:1 2p:1 fully:2 raytheon:1 connolly:1 radian:3 found:4 characterized:1 investigators:1 heavy:1 accelerator:13 hadronic:1 energy:76 hard:1 hawaii:5 yoshida:2 obtains:1 measurement:1 beyond:1 event:13 standard:9 dominates:1 since:14 projected:1 research:2 abbasi:6 dominated:2 induced:2 offsets:1 upon:2 confidence:1 imaging:1 rises:1 pairs:2 benefits:1 exponentially:1 feed:20 copper:4 major:4 number:12 done:3 varner:1 temperature:5 introduction:1 leading:2 least:2 assumption:4 hundred:3 gps:1 relationship:1 park:2 immediate:1 sigl:1 alumina:2 part:3 favorable:1 reflection:1 observatory:4 collaborations:1 determined:10 assume:3 treated:1 motivation:1 outstanding:1 7k:1 substantial:2 showers:19 orders:2 paths:1 nights:1 built:2 depending:2 self:1 port:1 extracted:1 empirically:1 internal:1 play:2 hires:6 saltzberg:2 depths:4 most:7 significant:4 undertaken:1 measured:4 kb:1 deviations:1 clear:2 km:13 elucidating:1 optical:20 electrons:41 exp:2 velocity:9 consisted:1 physics:9 scattered:1 beamwidth:1 carefully:1 find:2 impact:1 20db:1 parameters:4 inflection:1 distributed:1 factor:4 notation:1 dependent:3 beams:1 pions:1 polarized:5 closely:2 during:4 continuum:7 arxiv:15 remove:3 investigate:1 stored:1 common:2 bars:1 set:4 arrives:1 see:3 individual:2 sea:1 accelerators:1 close:3 analog:1 currently:7 engel:1 various:2 eksp:1 probably:1 conditions:15 pictured:1 available:2 recently:2 creating:2 complementary:1 initially:4 complement:2 attention:1 daq:2 conde:1 2σm:2 both:18 enables:1 last:1 transited:1 sensitive:1 vault:1 experimental:6 point:2 simple:3 logged:1 corresponds:1 proton:2 coincidence:1 dimensional:2 faraday:12 throughout:2 ps:1 ensures:1 described:5 create:2 due:11 anisotropic:2 combine:1 ph:16 pi:2 meeting:1 hundley:1 gas:2 precision:5 understand:1 systematic:1 plasmas:5 p1:4 uncertain:1 exponential:5 solid:1 empirical:2 while:10 behavior:7 error:1 evaluates:1 real:2 century:1 itself:1 anthropogenic:1 baseline:1 lengths:7 nanosecond:1 read:1 stimulated:11 virtually:2 glashow:1 relatively:1 composition:4 higher:2 development:6 used:20 slac:8 levels:5 moving:1 linsley:1 focal:1 recent:1 lower:13 analysis:8 edge:1 entry:2 distances:4 shape:2 questions:1 world:2 nagano:1 signals:6 source:5 input:1 radiator:4 showing:2 imposed:1 shaped:1 follows:1 signal:12 eev:6 separately:1 flux:13 imposes:1 unstable:1 sketch:1 methods:7 spring:1 some:10 pierre:1 examples:3 electric:1 scale:8 broadband:3 pev:2 measurements:15 integration:2 per:11 behave:1 proc:2 minimal:2 digitized:1 radiometer:2 processing:1 agreement:1 stem:1 departures:2 digitizer:1 beampipe:1 proven:1 standalone:1 enery:1 simulation:1 range:11 gamma:1 cutoff:2 enduring:1 into:6 within:10 indications:1 suppl:2 primarily:3 proportional:5 uncertainties:2 statistics:3 few:1 extremely:2 twodimensional:1 long:3 u2:3 sections:1 ka:2 properly:1 line:3 considerable:1 deployed:1 rejection:1 consist:1 characteristic:2 up:5 us:4 uh:1 fluctuations:2 similar:5 constant:6 defined:1 single:6 formalism:1 dashed:2 azimuths:1 department:2 particular:1 elements:1 ku:2 excitation:7 helping:1 generated:1 suppression:12 structure:1 independently:1 correlated:2 implies:1 fluorescence:28 thermalization:5 age:1 required:4 depth:5 implied:1 fitted:1 far:2 requires:2 having:1 once:4 code:1 partial:3 results:16 existing:4 amplified:2 contributions:1 issues:4 compact:3 graves:1 stable:4 weather:1 include:1 indicating:4 continues:2 wave:1 indication:1 electron:58 resonant:1 entire:1 incoherent:10 optics:1 noted:3 panes:1 zh:1 astrophys:7 dynamics:1 carlo:1 leakage:1 giving:4 experiment:19 3c:1 cmbr:2 bird:1 body:1 led:2 degree:2 respectively:1 commercial:2 focused:1 separation:1 consideration:1 z0:2 extreme:2 convert:1 photomultiplier:1 involved:2 larger:4 leaving:1 suggests:1 resulting:3 makes:1 involves:1 scales:6 scaled:3 summation:1 apply:1 causal:1 use:3 remains:2 next:1 classically:1 themselves:4 becomes:1 inclined:1 occurred:1 antennas:4 account:1 integrating:1 averaged:1 tag:1 process:9 high:19 effectively:1 assumptions:4 particles:9 decaying:1 holds:1 located:1 attachment:5 mysteries:1 greatly:1 profile:9 tension:1 blocks:1 collection:1 light:2 lines:4 subsequently:1 bins:2 pulsed:1 produces:2 produced:4 tungsten:6 including:4 converting:1 bunch:3 longitudinal:4 decay:8 chosen:1 pixel:2 greater:1 polarizations:4 material:1 dai:1 flash:1 subtraction:2 front:1 day:1 university:5 identified:1 magnitude:6 transmitted:1 truth:2 crossing:2 circular:1 constraints:2 yakutsk:1 chung:1 hpol:2 related:3 inverted:1 frequency:10 measure:2 our:11 transitions:4 vicinity:1 out:7 rep:1 rev:13 ω2p:2 bunches:4 cause:1 integrated:8 red:3 interactions:2 sio2:1 diagonal:2 completely:3 york:2 interaction:1 geometry:7 could:8 times:7 length:11 explored:1 isotropic:6 assumed:3 quadratically:2 teor:1 predominate:1 blown:1 photohadronic:1 improvements:1 reached:1 precisely:2 quality:1 start:1 unknown:2 histograms:1 system:16 adopted:1 their:7 intermediate:1 programmable:1 scans:1 shelf:1 reversed:1 tonoise:1 detection:17 ben:3 amplitude:1 function:9 curves:2 need:1 constrained:1 acceleration:2 zatsepin:2 angle:2 min:1 mia:1 able:1 mid:1 polarization:5 incorporating:1 detector:11 subject:2 deploy:1 collaboration:8 propagate:1 manoa:2 intrinsic:1 cherenkov:3 awa:9 volume:1 subtracted:3 radiating:3 neighboring:1 stronger:1 proceedings:1 fact:8 atmosphere:2 text:2 supported:1 crate:2 debate:1 decade:2 staff:1 o:3 based:12 knowledge:1 should:1 candidates:6 molecules:6 employed:1 local:1 achieve:1 equilibrium:6 cube:1 means:2 familiar:1 overall:3 beam:52 timing:2 lei:1 collisional:9 evolution:4 densities:1 differential:1 expansions:1 reid:1 tth:2 processed:2 ohio:1 fixed:1 view:5 nitrogen:10 national:2 correlations:9 intensity:10 operated:1 statistically:1 tend:1 state:3 tens:2 progress:1 jω:3 comparable:7 ability:1 importance:1 emitted:1 however:8 configuration:3 thank:1 taking:2 passing:1 estimation:1 detailed:4 co:3 cm:7 periodic:1 ca:2 walk:1 table:3 addition:3 agasa:1 proposal:1 arises:1 controlled:3 sufficient:2 coherence:9 miki:1 bulk:1 angles:3 c3:1 tangible:1 νen:11 present:2 main:1 atmospheric:6 value:1 will:14 ultra:3 almost:3 molecular:10 thus:15 helped:1 vs:5 dual:3 situ:1 sequentially:1 perhaps:1 began:1 radiation:38 cross:11 unity:1 parts:1 schematic:3 largest:1 difficult:1 practice:1 http:1 disagree:1 effect:3 ion:5 compared:6 expand:1 off:2 center:6 calibration:4 well:6 position:1 subgroup:3 less:2 increasingly:1 obtain:3 sources:2 underlying:1 distant:2 voltage:1 testbed:3 rapid:5 density:21 absorption:2 sky:2 capabilities:1 hall:1 add:1 extends:2 adc:2 warrant:2 resolved:1 tests:3 putative:2 inversion:2 increases:1 know:1 denser:1 immediately:1 loss:1 necessary:6 like:1 success:2 qualitative:1 28b:1 accelerating:1 become:4 nucleons:1 exceed:2 because:5 classical:1 sequence:1 phenomena:1 observatories:5 rections:1 lead:7 avoid:1 instantaneous:1 does:4 astropart:7 assuming:1 demonstrated:1 limitations:1 noise:20 reaching:1 journal:1 conveyed:1 although:3 offset:1 unattenuated:1 uhecrs:1 imaginary:1 about:13 actual:7 column:2 universe:3 certainty:1 dependence:2 15th:1 angeles:2 own:1 en:1 significantly:4 van:1 additional:4 elastic:3 transfer:4 support:2 quadratic:9 interferometry:1 synchrotron:2 triggered:3 bus:1 but:13 histogram:2 astro:16 neutral:3 eas:28 highest:6 partially:11 made:3 evident:5 whether:1 below:4 converted:2 limit:4 demonstrate:1 distribution:17 farrar:1 hz:1 inadequate:1 contribute:3 relates:2 functions:1 avoided:1 variety:1 corporation:1 detail:3 virtual:1 collimation:1 other:15 details:6 unaccounted:1 gorham:2 conclusion:1 zhou:1 june:1 astronomy:3 prevalent:1 apertures:2 space:3 portion:2 compete:1 determination:1 validation:1
|
0705.2590.txt |@word consider:1 beckert:2 mahadevan:1 magnetic:21 results:5 projected:1 indicates:1 tenuous:1 edu:1 expressions:1 sch:1 depend:1 calculate:2 fellowship:1 ott:1 tr:1 passage:1 critical:2 zensus:1 te:1 pacholczyk:2 baganoff:2 applied:1 supported:1 r13:3 orthogonal:3 very:6 frequencies:3 rise:1 wave:13 electron:9 every:1 fall:1 ln:1 exact:1 entire:3 propagating:4 prize:1 presented:1 large:13 vector:6 small:2 relation:2 application:1 smaller:1 pasa:1 sin2:3 prediction:1 rate:3 street:1 value:5 further:1 estimated:1 even:3 sub:7 giving:1 section:1 l121:1 expressed:1 uniform:1 axial:6 version:2 poles:5 above:4 l127:1 net:1 increasing:2 contrast:1 full:1 escaping:1 αij:2 climbs:1 respectively:2 l1:1 component:12 here:2 reported:1 l27:1 l29:1 along:3 diagnostic:1 equations:2 wait:1 convert:1 dotted:1 institute:1 vectors:1 allows:1 marrone:5 amount:2 resulting:3 decouple:1 drb:2 changes:2 via:1 see:1 2000b:2 2000a:2 sgr:25 krichbaum:2 highly:2 apj:19 moran:2 total:1 unit:2 narayan:9 plot:3 fed:1 would:1 motivate:1 predictions:2 predict:1 program:1 examination:1 therefore:6 relativistic:14 raft:1 theoretical:1 marginally:1 more:2 successful:1 benchmark:1 emission:6 pierced:1 tested:1 normalized:1 particular:1 known:2 hole:9 aligned:2 must:3 high:3 include:1 mc:2 integrating:1 equation:2 work:3 modified:1 remain:3 lorentz:3 values:5 temperatures:4 hawley:2 example:2 ions:2 figure:7 give:1 calculation:2 thermally:1 flaring:1 states:1 sphere:13 way:1 performed:1 coincident:2 kennett:2 occur:2 rather:1 travel:1 regions:1 how:2 run:2 pure:2 elliptical:9 parameter:1 circular:23 profile:1 may:6 use:2 derived:2 millimeter:10 4th:1 fg:2 fits:1 parallel:3 physical:2 effective:1 light:4 l57:1 lines:3 ghz:3 cosmology:1 provide:1 so:5 allow:1 order:1 wavelengths:4 interpretation:1 help:1 produces:1 over:7 vary:1 zel:1 interpreted:1 course:1 thermal:7 paper:2 through:9 thesis:1 adafs:1 cold:5 still:1 avenue:1 its:5 galaxy:2 observational:1 mod1:1 style:1 outer:1 fit:1 energies:2 aschenbach:1 coordinates:1 actually:1 fig:1 latitude:1 defining:1 image:1 shear:1 yi:3 non:2 thereby:1 powerful:1 polarizations:3 ǫij:2 effects:3 they:3 rotation:27 now:2 maxwellian:1 ther:1 dielectric:1 february:1 always:3 university:3 kpc:1 mode:3 toroidal:2 radial:5 found:3 entirely:1 astropart:1 constraints:3 tilted:1 significantly:1 energy:5 reduce:1 eb:1 frequency:14 measure:4 wavelength:1 eq:1 out:1 shown:3 γcrit:6 space:3 since:2 semi:1 denotes:3 re:1 dominated:1 vlbi:1 wide:1 denoted:1 dominate:1 cause:2 viable:1 shows:8 arizona:4 linear:30 mechanisms:2 little:1 backer:1 standard:1 campaigns:1 φds:1 perturbation:1 estimate:1 e2:1 geometry:8 determining:1 could:1 βe:1 plane:2 transfer:1 undergo:2 onto:4 first:1 origin:1 mω:2 assumptions:1 number:3 relations:1 directly:1 radiate:1 thick:1 passes:2 given:1 cartesian:1 temperature:19 jet:1 introduction:1 construct:1 mal:1 indicate:4 accretion:26 advection:1 observations:8 calculations:2 draft:1 percentage:1 inner:1 bremer:1 inefficient:3 psaltis:1 schwarzschild:1 moscow:1 abramowicz:1 astrophysics:1 part:1 bower:2 differentiate:3 translation:1 than:1 modes:41 relative:1 polarized:14 showed:1 cyclic:3 approximations:1 measured:1 likely:2 submitted:1 determined:1 kte:9 steep:1 synchrotron:2 rads:1 generality:1 rao:2 spectrum:5 curves:1 medium:4 headings:1 quasars:1 unaffected:1 saw:1 any:5 ray:2 lie:3 conversion:10 strength:3 angle:6 mechanism:1 oak:1 polarization:44 decomposing:1 generalized:14 photosphere:1 infalling:1 spectral:1 begin:1 multiple:1 normal:19 track:1 ebruary:1 significant:2 phase:1 extremely:1 probes:1 latex:1 genzel:2 considered:2 calculated:2 later:1 flow:12 typeset:1 electrons:3 circulations:1 velocity:2 ruszkowski:3 latest:1 physics:5 precise:1 emerging:1 signatures:1 intensity:1 show:2 probe:1 purely:5 radii:5 radio:2 solutions:3 carefully:1 find:1 impact:1 ratio:7 parameters:3 written:2 analytic:2 only:7 black:9 ballantyne:3 factor:4 emitting:1 circle:1 population:1 loeb:5 distance:2 overall:1 beam:4 cannot:1 nearly:4 closely:1 during:1 averaged:1 procedures:1 ds:1 alexander:1 precession:1 krolik:2 luminosity:3 arxiv:1 aec:1 4πc:1 exercise:1 mapped:1 require:1 shapiro:2 ser:1 undergoes:1 detection:1 ara:1 depends:1 radius:6 result:5 enhanced:1 cyclotron:1 best:1 subject:1 radiates:1 visualize:1 capacity:1 hammett:1 subsequent:1 postdoctoral:1 enough:3 future:3 melrose:6 between:10 drawn:1 numerous:1 tent:1 comparable:1 ability:1 nature:3 importance:3 emitted:1 however:3 efficiency:1 incident:1 φe2:1 ellipticity:3 key:2 quataert:8 analyzed:1 originates:1 both:6 cos:1 ωb:5 desired:1 many:1 region:1 conclusions:1 against:1 ozel:4 planned:1 context:1 passing:2 mean:1 expression:1 blandford:3 reside:1 among:1 stretches:1 fields:1 cm:3 point:2 corresponds:1 dimensional:1 tennessee:1 faraday:21 mc2:8 described:3 geometries:2 addition:1 relevent:1 radiative:2 three:9 tiny:1 commission:1 magnetized:3 much:1 ensured:1 azimuthal:1 rates:1 expected:2 ph:3 define:1 generating:2 θb:1 quantities:1 gas:7 nrel:6 tightened:1 external:1 c3:1 evidence:1 irrelevant:1 those:1 case:4 k2:2 mhd:1 solid:1 engineering:1 profiles:1 will:34 while:3 behavior:1 ultra:3 taking:1 melia:2 detailed:1 larger:1 orientation:1 equator:4 thus:8 surface:2 clearly:1 ij:1 conf:1 phinney:1 ig:3 different:7 propagation:6 circularly:1 radiation:21 poincar:5 unity:1 split:1 units:1 several:2 higher:1 independent:1 used:4 igumenshchev:2 numerical:3 effect:4 flows:7 l173:1 constraining:1 changing:1 yuan:7 recent:1 center:4 lightman:1 calibration:1 well:1 without:1 components:1 english:1 position:1 model:5 candidates:1 spherical:1 agol:2 just:1 being:1 generally:1 observed:8 rotated:1 obtain:2 shape:1 identify:1 atomic:1 testbed:1 previous:1 lacombe:1 rapid:1 preprint:1 density:10 ghez:2 cherry:1 seems:2 eckart:2 wright:1 other:1 els:1 east:1 plasma:35 remaining:1 take:2 resolved:1 around:5 ichimaru:2 possible:4 early:1 using:3 accurate:1 loss:1 rotate:4 depolarized:2 aitken:3 interestingly:1 velocities:1 translates:1 specific:2 unstable:1 either:2 become:1 inter:1 signal:1 disks:1 classical:4 begelman:6 plausible:1 successfully:1 some:1 sight:3 altered:1 provided:1 witzel:1 sharma:2 lead:1 measurements:6 nonthermal:1 does:2 linearly:4 provides:1 assuming:3 hotter:1 eddington:2 bessel:1 waxman:5 gruzinov:4 equivalent:1 each:3 perpendicular:5 plots:1 refers:1 emulateapj:1 properties:4 stokes:2 stone:1 central:1 carried:1 constraint:1 discussed:1 o:1 simulation:2 range:10 discusses:1 emissivity:1 considerations:1 into:5 within:3 rotations:3 bound:1 due:1 sor:1 references:1 been:5 determine:1 speculated:1 reducing:1 ellipse:2 ridge:1 few:1 assumed:3 there:1 odel:1 long:1 low:7 fraction:2 resulted:1 was:3 function:4 rees:2 form:1 differences:1 denoting:1 but:1 hoped:1 astro:2 quiescent:1 mnras:2 line:6 true:1 falcke:5 φc2:1 made:1 elliptically:1 gravitational:1 up:1 us:1 placed:1 tucson:2 limit:1 distribution:2 radiatively:3 hz:2 constant:3 classic:1 defined:3 abstract:1 influence:1 direction:6 general:5 alef:1 simulations:2 rouan:1 az:2 graham:1 dγ:2 regime:3 functions:2 nn:3 tentative:2 dashed:1 whereas:1 when:7 zhao:2 field:21 valid:2 riaf:11 suppress:1 department:2 optically:1 calculating:2 models:9 depolarize:3 important:6 allowing:1 astronomy:1 unless:1 constrain:2 riafs:9 suffers:1 practically:1 eardley:1 observe:1 mass:2 adaf:2 representative:1
|
0705.2591.txt |@word consider:2 pointing:7 caused:1 magnetic:19 results:48 leads:1 qiu:2 entropy:43 grateful:1 mila:1 consists:1 contributions:3 cases:1 issues:1 inverse:2 depend:1 calculate:1 leung:1 marcos:1 irrelevant:2 h2α:1 young:2 finally:1 monotonically:1 tanaka:1 present:9 under:1 lord:1 include:1 broaden:1 alternating:1 case:8 returning:1 very:17 rise:4 account:1 powders:1 figs:2 mixing:2 experimentally:10 difference:6 exact:4 bryant:1 molar:1 everts:2 lecheminant:2 presented:6 ref:21 anisotropy:56 michael:1 kamenev:1 t1:1 large:20 phase:2 small:13 enhance:1 equation:1 suppress:2 degeneracy:2 concluded:2 zn:5 unexpected:1 findings:1 consistent:1 sign:10 likely:3 enhancement:3 zz:1 sublinear:1 further:7 chem:2 even:7 what:3 plays:1 stands:1 incompatible:1 section:5 axes:3 uniform:6 3j:34 hea:1 goes:2 increasing:2 method:1 contrast:1 thin:18 quenched:11 condensed:1 full:1 lee:6 exchange:31 respectively:5 component:2 here:6 atoms:1 evident:1 tracks:1 focused:1 takashi:1 relaxation:1 spinspin:2 along:5 observing:1 change:4 elstner:1 obtained:12 sjx:1 sjy:1 noticeable:2 shift:1 study:9 studied:5 allows:3 later:3 atom:1 periodic:3 proof:1 studies:2 explain:2 plotted:4 although:1 extrapolations:1 substitution:1 sample:2 moessner:1 highly:2 brought:1 addressed:1 decrease:2 elucidated:1 forefront:1 ofer:2 plot:1 use:1 usc:1 figure:3 usa:2 distinct:1 positive:7 negative:6 substitutions:1 few:2 depicted:4 therefore:1 taken:2 black:1 bonds:4 indistinguishable:1 theoretical:6 more:2 lhuillier:3 lowering:1 diamond:2 clearly:1 becomes:8 apparent:2 oren:1 site:16 appendix:4 basically:1 particular:2 hole:2 iii:4 high:22 keeping:1 rotational:2 middle:1 science:1 der:1 work:9 mk:3 reproduce:4 values:13 temperatures:37 ms:3 averages:2 example:1 performed:2 nearest:1 compare:4 weaker:1 indicated:1 calculation:3 sense:3 organized:1 states:10 indicates:1 minimum:2 numbers:2 degenerate:1 allowed:3 sharp:6 opposed:2 axis:11 compatible:2 needs:1 provide:2 s2:2 s1:2 breaking:1 olariu:1 feature:2 s5:2 s4:2 how:2 behave:1 pure:28 instead:1 strongly:4 mat:4 may:12 thermodynamic:8 earlier:1 southern:1 demanding:1 expectation:1 shores:4 hence:7 plane:73 considers:1 minimizes:1 law:5 data:7 types:2 stress:1 short:1 natural:1 effective:1 computations:1 slightly:3 spectra:6 lines:17 summing:1 su:1 lacroix:1 rather:2 si:4 cannot:2 so:2 progressively:1 allow:1 amit:1 inplane:4 crystallographic:2 order:11 exotic:1 six:5 interpretation:2 produces:6 indeed:2 over:3 vary:1 distortion:1 produced:5 saturates:1 signs:2 argued:3 existence:1 senthil:1 still:3 excitations:1 its:13 depending:1 ono:1 perfect:1 gµb:2 rapidly:1 probability:3 fit:1 decay:1 ln:2 inward:2 onsets:1 decreases:2 better:2 previously:1 absence:6 nocera:5 fig:73 benitez:1 clusters:4 main:2 decades:1 eur:1 huang:1 eventually:3 them:2 herbertsmithite:1 material:10 introduce:1 break:1 couples:1 effects:18 they:10 half:1 producing:3 nov:1 now:3 discuss:7 nos:1 susceptibility:67 february:1 several:1 oxygen:1 always:2 university:2 hamiltonian:2 arrows:1 harris:1 cluded:1 each:3 found:2 dif:1 cl2:23 constraints:2 el:1 lifted:1 chung:1 series:1 energy:2 ferromagnetism:1 reduce:3 idea:2 related:3 used:3 yoshida:1 combining:1 quantum:4 our:15 differ:1 eq:3 unaffected:1 out:30 shown:15 impurity:15 factors:1 res:1 furthermore:1 since:3 rev:23 research:1 increase:14 matan:2 dominated:2 denoted:1 newly:1 issue:1 occurs:2 shows:9 foundation:1 after:3 theory:1 interactions:19 favored:1 given:4 free:4 quite:3 approaches:1 perturbation:2 california:4 term:17 intermediate:9 estimate:2 rises:1 generate:2 competes:1 interaction:8 chiral:1 rutenberg:1 substantiate:1 could:8 transition:1 keep:1 counterpart:1 turn:2 produce:4 isotropic:3 assumed:2 davis:1 configurations:2 reinforced:1 origin:1 copper:1 already:2 features:2 symmetry:10 enhances:7 helton:2 number:4 median:1 xy:3 done:1 approximately:1 another:4 thick:18 open:1 summarize:1 size:8 little:1 agreement:2 smaller:1 temperature:54 start:2 introduction:2 mendels:2 eqs:1 system:7 least:8 their:10 perturbations:9 joel:1 calculations:10 realization:1 aver:1 ordered:1 1j:11 hpert:2 gives:1 discussion:2 explanation:1 modifying:1 interesting:1 explained:1 believe:1 than:16 center:3 wide:2 zncu3:23 liquid:3 yildirim:1 favors:1 suslov:1 zero:3 matter:3 determined:4 contrary:2 str:1 were:7 toward:8 distinguished:1 result:16 behaviors:1 function:11 generality:1 remained:1 ran:1 mind:1 crossover:2 mater:3 substantial:3 hpcc:1 distorted:3 need:2 seen:19 concentration:8 confirms:1 linked:2 relatively:1 lie:2 depict:2 sj:3 studying:1 latter:5 able:2 bernu:4 outward:1 note:2 potential:1 online:15 negligible:3 singh:4 strengths:2 modulus:1 heisenberg:9 play:2 added:1 habicht:1 though:1 rigol:3 incorrect:1 reimers:1 impurities:11 insets:2 most:2 eight:11 comparing:4 vii:1 intrinsic:1 class:1 deviations:3 cause:2 observation:1 consequences:2 χp:44 considered:3 kj:1 average:1 broadened:1 χz:42 curie:4 points:1 χa:15 thank:1 physics:3 sum:1 show:25 text:1 supported:1 nlc:22 relation:3 longer:1 find:8 decade:1 ground:5 sanchez:1 based:10 parameters:7 kagome:20 state:5 topological:2 should:8 only:14 moriya:8 candidates:1 factor:5 baines:2 local:1 first:2 do:2 predict:1 dm:53 triangle:14 above:4 notation:3 means:3 dependent:6 mainly:2 intersite:2 de:2 overall:1 kind:2 obtain:2 affecting:1 ones:8 dz:129 kiefer:1 combinations:1 takano:1 dp:97 unfortunately:1 extract:1 resolve:1 continuum:1 µ2b:1 misguich:9 fields:3 arxiv:7 expansions:2 acknowledgments:1 experiments:11 lake:1 implication:1 fixed:2 explanations:2 remains:1 magneton:1 kivelson:1 set:4 computed:2 reference:1 clarified:1 national:1 correlations:6 notice:2 observed:4 mentioned:3 see:4 sec:8 powder:15 enhanced:3 discussions:1 terms:11 acts:1 satisfying:1 phonons:2 nuclear:1 away:2 ranged:1 sites:8 favor:1 outside:1 future:1 various:2 between:17 seven:8 downturn:1 boundary:2 conditions:2 yamabe:1 µb:1 reiterate:1 suppresses:9 recently:3 extend:1 missing:1 attention:1 weak:2 however:13 jm:1 multiplies:4 distinguish:2 separately:1 generates:1 configuration:1 suppressed:4 abruptly:1 received:2 discernible:1 last:1 reported:1 region:1 asymmetry:1 sensitive:2 figures:1 dated:1 highlights:1 contribution:6 argue:1 rokhsar:1 experimental:22 con:1 exhibit:2 relevant:1 elser:2 conclude:4 color:15 pow:1 address:1 height:7 alone:1 written:1 simply:1 adding:1 cs:9 respect:25 cv:18 cu:6 considering:11 puts:1 addition:4 create:1 duc:2 chirality:4 due:5 been:10 confident:1 reduction:8 much:3 interest:2 expected:6 systems:3 25j:3 direction:3 onset:1 imai:6 both:20 sectors:3 requires:1 gap:6 bulk:2 relevance:1 observe:1 understand:1 keren:2 bull:1 evidence:1 spin:25 former:2 those:2 applied:1 couple:1 sethna:1 unlike:1 pacs:1 hermele:4 qualitative:1 value:11 choices:2 will:8 while:7 abrupt:1 behavior:12 easily:1 hdm:1 property:1 rajiv:1 identical:1 planar:1 would:6 orientation:1 coupled:1 almost:8 vi:1 refs:8 sondhi:1 thus:2 non:2 discrepancy:1 iv:3 ii:10 cluster:17 sudden:2 cond:4 kikuchi:1 increased:2 different:28 aged:1 develop:2 perform:2 suggest:1 make:2 vries:2 same:7 any:4 beside:1 largest:1 units:1 finite:15 grows:2 neutron:1 higher:6 canals:1 independent:2 clear:2 investigated:1 accommodated:2 numerical:4 effect:23 hand:3 sys:1 phy:1 edges:2 liquids:2 bartlett:4 changing:2 without:7 recent:4 ferences:1 lower:9 weakly:2 whereby:1 scenario:2 minimize:1 changes:1 no:6 well:2 analysis:3 bohr:1 solids:1 materials:3 sets:2 magnifies:1 position:1 model:10 doi:1 hˆ:1 hastings:1 muon:1 manifold:1 just:1 among:1 moments:1 accurate:1 starting:1 valuable:1 detail:1 ch:2 harrison:2 alignment:1 previous:1 sindzingre:6 rapid:1 interestingly:1 opposite:2 conclusions:3 consequence:1 extra:1 seems:1 wen:1 weiss:3 lattice:19 add:1 lett:9 easy:21 5j:1 diagonalization:4 extensive:1 real:1 saturation:1 antiferromagnets:3 insensitive:1 around:2 depends:1 represents:2 read:1 showing:1 providing:1 possible:7 upturn:7 possibly:2 increases:1 private:1 background:1 using:13 variants:1 depicts:1 cu2:1 generated:1 displaced:3 ns:2 like:7 follows:3 reduces:4 susceptibilities:37 specific:35 eel:2 grants:1 either:2 corners:1 translated:1 become:2 dilution:15 works:1 reduced:2 spins:12 poor:1 because:1 classical:7 some:2 pierre:3 understood:5 extended:1 huse:2 alternates:2 anisotropies:18 provided:2 calculating:1 lead:4 measurements:3 cχ:1 extensively:1 per:2 get:1 ions:2 defined:1 does:8 exposition:1 siy:1 subtracted:1 cnh:1 displaces:1 measuring:1 nmr:5 obey:1 power:4 perpendicular:1 expansion:13 disappeared:1 paper:1 amato:2 dmr:2 chiralities:2 accompanied:1 losing:1 plots:10 cgs:1 singlet:2 properties:4 comparison:2 about:2 suto:1 rare:1 ferromagnetic:2 oh:24 am:1 discussed:8 dependence:7 o:3 assertion:1 angeles:1 tremendous:1 range:6 2j:17 neighbor:1 act:1 mixed:1 introduced:2 consequently:1 ising:1 considerations:1 soc:1 presence:30 h2:1 communication:1 into:1 within:4 three:4 down:20 lies:1 perturbing:1 primarily:2 side:1 cho:1 theoretically:1 15j:2 additional:1 synthesized:2 measured:5 support:1 there:7 question:2 canting:1 los:1 anderson:1 low:4 way:1 ed:22 notices:1 berlinsky:1 analyze:1 was:7 bonville:1 dzyaloshinsky:8 lowest:1 bert:2 arise:1 form:1 ofplane:1 regard:1 but:3 displacement:2 anisotropic:1 heat:35 lowered:5 so4:1 larger:10 convergence:1 implies:2 line:10 trying:1 considerable:1 mineral:1 lynn:1 compute:1 tems:1 embedded:2 whether:2 inside:1 up:20 us:5 antiferromagnet:1 excitement:1 crystal:2 below:4 limit:5 critical:1 planes:5 alternate:1 similar:8 agree:1 nature:2 detailed:1 partition:2 constant:6 introducing:2 subtracting:3 certain:1 describe:1 influence:1 zeng:1 general:3 dashed:1 single:5 orders:1 crystals:4 moves:1 triangles:25 regime:2 nh:1 again:1 compared:8 completeness:1 variety:1 na:1 whereas:2 when:11 departs:2 field:4 other:8 role:4 nat:1 quantities:5 department:2 nonmonotonic:4 nt:1 displace:2 conclusion:1 deviation:1 happens:1 briefly:1 exp:7 excitation:1 models:1 time:1 ultimately:1 ote:1 120o:1 important:4 peak:14 suppression:1 vectors:1 included:1 fisher:1 astronomy:1 needed:1 dimensions:1 algebraic:1 breaks:4 coupling:2 assume:3 nonmagnetic:3 4t:1 required:1 holes:3 rule:1 original:1 inset:27 presenting:1 resembles:1 remarkable:3 resolution:1 having:1 once:2
|
0705.2592.txt |@word represent:2 consider:1 rev:24 magnetic:35 lack:1 resistance:1 projected:1 eds:1 gd:7 entropy:2 edu:1 follow:2 cuo6:2 centers:2 localized:3 layers:2 eu:1 description:1 involve:1 including:1 diluting:1 quasi:1 does:1 highquality:1 those:1 stable:1 lin:1 aux:2 must:2 tb:1 tc:17 indicating:1 eliminate:1 doped:2 epin:1 very:1 rise:1 multi:2 seemingly:1 wave:2 taillefer:1 electron:9 figs:1 resonant:1 nonfermi:1 fleming:1 sc1:3 induced:2 incoherent:5 grey:1 anisotropy:1 plotting:1 large:3 kondo:26 demonstrated:1 small:2 postdoctoral:1 gor:1 configurations:1 smaller:1 slower:1 trend:1 consistent:3 kato:1 estimates:1 direct:1 zero:3 rigorous:1 further:1 attributable:1 odd:1 theory:1 even:2 intimately:2 what:3 nonlinear:1 sub:3 incomplete:1 section:2 while:1 current:1 constrast:1 above:4 values:4 increasing:2 method:1 contrast:6 paradoxical:1 revealing:1 wiedemann:3 behavior:5 exchange:6 respectively:2 applies:1 component:1 residual:4 here:3 understanding:1 behaviour:6 magnetism:4 possibility:1 separation:3 address:1 active:1 path:1 strong:5 appears:3 superconductor:3 involved:2 study:1 larger:1 dissolve:1 suggests:1 preferentially:1 ineffective:1 breakdown:1 rareearth:1 proportionality:2 studies:1 involves:1 plotted:4 holmes:1 mimicked:1 via:3 regardless:1 scales:2 substitution:17 planar:1 highly:2 addressed:1 vols:1 kogan:1 should:1 estimate:1 linearly:2 tn:3 conventional:1 qcp:5 proceed:1 usa:1 er3:4 remains:2 positive:1 lying:1 cein3:1 substitutions:6 scenarios:1 almost:2 sample:4 assistance:1 promoting:1 jeffries:2 theoretical:1 tk:2 duality:1 marks:1 curvature:8 surprisingly:1 glass:1 berlin:1 investigation:1 varying:1 known:1 hole:1 µeff:5 hints:1 evolves:1 springer:1 ma:1 mm:1 science:2 work:1 dichotomy:1 theories:1 mt:1 oxide:2 vs:1 renders:1 temperatures:2 necessarily:1 example:1 decoupled:1 control:2 ions:8 figure:2 process:3 introduces:1 conspire:1 high:3 archetypal:1 allowed:1 waszczak:1 dominant:1 guides:1 upt3:2 species:1 advancing:1 lmfp:4 strongest:1 provide:1 breaking:6 chemical:2 how:1 hor:1 pure:1 coleman:2 parameter:5 grown:1 mar:1 mat:1 may:1 magnetotransport:1 long:2 fluid:2 reflect:1 hence:1 plane:2 lax:1 fits:2 drastic:1 law:7 data:5 response:1 snx:2 si2:4 amenable:1 liquid:12 lines:1 yielding:1 rather:3 negligible:3 sn:2 fundamental:1 highlighting:1 alloy:4 acknowledges:1 order:3 typical:1 interpretation:1 produces:1 ruckenstein:1 indeed:4 over:3 insight:1 symbols:4 experiments:1 through:3 daniel:1 ce1:18 y1:2 japan:2 y3:4 its:11 sinclair:1 phillips:1 group:1 la:4 ko:1 highlights:3 jarrell:1 exhibits:1 destroyed:2 pines:1 absence:4 lu:3 degrees:1 fig:14 main:1 decades:3 emphasize:1 correspondence:1 non:20 coqblin:1 squares:1 paglione:5 regarding:1 substituent:2 scaling:3 yx:1 effects:4 they:1 half:1 tetragonal:1 inelastic:1 hall:2 ba2:1 term:2 profound:1 university:1 nakatsuji:1 identified:2 2d:2 filling:1 2a:1 2b:1 each:2 found:8 characterized:1 mean:1 heavy:8 el:1 square:2 another:1 independent:3 series:6 energy:3 platelets:1 related:4 abrahams:1 mackenzie:1 owing:2 interplay:1 quantum:10 our:1 extract:1 out:1 canada:1 respects:1 shown:9 impurity:1 factors:1 electronic:5 furthermore:2 percolation:1 rx:14 cuprate:1 research:1 increase:1 fellowship:1 nakajima:1 nominal:2 dominated:1 jolla:1 suggesting:3 dominate:1 cause:1 occurs:1 red:1 shows:2 foundation:1 condens:2 cecoin5:28 linear:16 mizushima:1 interactions:1 mechanisms:2 free:1 standard:1 approaches:2 salient:1 california:2 franz:3 tcoh:13 temperature:16 pairs:1 interaction:5 route:1 transition:6 times:1 turn:1 length:4 millikelvin:2 routes:1 first:2 exotic:1 copper:2 features:4 striking:1 quasiparticle:1 xc:1 synonymous:1 number:1 stark:1 directly:1 type:1 clarity:1 open:3 maple:2 size:4 earths:1 given:1 perturbation:2 oneparameter:2 likely:1 similarly:1 leading:1 yb2:1 rosch:1 system:2 least:2 parallel:2 intermediate:1 rates:1 destruction:1 national:1 kov:1 shifted:1 shell:4 fraction:2 johnson:1 explanation:1 basal:1 reflecting:1 tl2:1 authors:1 than:5 reflection:1 wide:1 effective:4 was:9 thermodynamic:1 dy:2 rate:7 preparation:1 matter:2 states:5 str:1 were:2 bauer:2 gives:1 powers:1 exhibit:1 bridge:1 resistivity:20 san:1 julian:1 schneemeyer:1 crossover:1 sublinear:6 mater:1 5d1:2 manner:1 jaccard:1 concentration:5 linked:1 relatively:1 strength:1 angle:2 latter:2 able:1 isolated:1 mechanism:3 metallic:2 note:3 instance:1 fitting:1 potential:2 take:1 hightemperature:1 persistence:1 circles:1 begin:1 electric:1 rink:1 normal:7 correlation:1 impurities:2 most:3 boltzmann:1 experiences:1 pr3:1 pair:6 acknowledgements:1 extremely:1 inconsistency:1 kb:2 deviations:1 placement:1 observation:2 surprising:1 dom:1 up:1 compounds:3 implications:1 doe:1 curie:1 points:2 electrons:4 velocity:1 physics:2 notion:2 fact:1 laws:1 slope:1 signatures:1 phenomenon:1 dickey:1 violation:3 probe:2 dy3:3 radii:2 magnetization:1 relation:1 earth:14 find:1 d0:2 based:1 parameters:1 conduction:5 behind:1 peculiar:1 gdx:2 only:2 screening:4 factor:2 constant:2 local:1 dj:11 µsr:1 dependent:4 simplest:1 freezing:1 expectation:1 magnetoresistance:1 truly:1 ρcr:2 nearly:1 closely:1 despite:1 report:1 comply:1 evolution:7 exhibiting:1 places:1 explore:1 schofield:1 arxiv:1 tuned:3 twice:1 filled:3 antiferromagnetic:4 ce3:2 coefficient:1 bars:1 set:1 sensitivity:1 correlations:2 maximum:2 observed:2 nserc:1 see:3 cecu6:2 cecu2:2 discussions:1 close:2 awaits:1 closer:1 co0:1 fails:1 error:2 exponent:8 placed:1 bi2:1 pd3:5 materials:2 symmetric:1 state:11 various:2 between:19 limit:2 µb:6 arrival:1 chamon:1 triplet:1 recently:1 nature:7 importance:1 weak:1 metal:1 ybrh2:2 however:3 magn:2 key:1 analyzed:1 configuration:11 suppressed:2 suggested:1 both:20 lu3:1 coy:3 cox:1 miyake:1 uncertainty:2 equal:1 zeeman:1 connection:3 rkky:1 requests:1 cm:2 point:7 simple:2 character:1 coexistence:1 ce:6 dimensional:1 simply:1 spans:2 doping:3 crystalline:1 cu:1 pr:2 ruderman:1 µ2eff:1 af:1 oder:1 three:3 been:1 varma:1 much:1 change:3 basic:1 anisotropic:2 empty:1 systems:3 direction:1 arises:1 controlled:1 coherence:10 gap:2 coherent:6 systematic:1 suspected:1 burdin:1 evidence:5 spin:16 present:3 case:2 intriguing:1 processes:1 being:1 value:3 will:1 near:5 bounds:1 leaves:1 shift:1 irrespective:1 property:2 abrikosov:1 unpaired:2 trovarelli:1 layer:1 vf:2 phenomenological:2 squid:1 thus:3 site:2 superconducting:9 itself:2 cond:1 against:1 insensitive:2 leaving:1 fermion:8 orbital:1 different:1 grant:2 generic:1 same:4 any:2 periodic:1 5s2:1 largest:1 several:2 grows:1 magnetometer:1 evolve:1 used:2 unconventional:2 again:1 elicits:1 defy:1 upon:1 effect:5 counterparts:1 ion:8 moment:10 robust:1 4d1:1 kasahara:1 recent:2 dopant:3 schr:1 unlike:1 scenario:2 band:1 acknowledge:1 well:1 roughly:1 de:4 without:1 sets:1 position:1 model:4 arising:1 self:1 left:1 6s2:2 stringent:1 czycholl:1 cuprates:2 decreasing:1 moments:5 nd:1 proximity:4 compound:1 superconductors:6 isoelectronic:1 shape:1 underlying:1 aspect:1 spherically:1 useful:1 flavor:1 scattering:24 yet:1 previous:1 onset:1 density:2 characterization:1 seems:1 except:1 weiss:1 lattice:19 fermiliquid:1 imposes:1 georges:1 lett:15 samples:3 evidenced:2 role:1 grempel:1 disrupt:1 unprecedented:2 hybridization:3 identical:1 gd3:8 lcr:2 criticality:3 rules:1 phenomenology:1 showing:1 possible:1 spanned:1 five:1 cu3:2 variants:1 unique:1 apart:1 yb:2 imposed:1 like:1 follows:2 interestingly:3 schmitt:1 mitsuda:1 flux:1 canfield:1 continue:1 indication:1 either:1 martin:1 notorious:1 downward:2 valence:1 disorder:2 spins:1 replacement:2 scatterers:2 parity:2 indications:1 right:1 methods:4 phenomena:2 under:3 competition:1 trends:1 growth:1 transport:9 stockert:1 pronounced:1 scale:3 cooper:3 dimensions:1 channel:3 measurements:2 seaman:1 sr2:1 umd:1 critical:8 inject:1 provides:3 assuming:2 o6:2 survive:1 minimal:1 particular:2 power:5 prepared:1 likewise:1 pressure:1 substituted:1 although:2 instability:5 singlet:3 explicity:1 properties:6 ohneysen:2 comparison:2 rare:15 coexist:1 freedom:1 anomalous:8 dependence:5 o:3 yosida:1 nonvanishing:1 range:7 concentrations:2 sponsored:1 introduced:1 slightly:1 soc:2 lowtemperature:1 presence:3 previously:1 into:5 within:1 due:1 down:2 phase:1 perturbing:1 because:1 petrovic:4 contributor:1 proportional:1 approximately:1 gennes:3 fischer:1 additional:1 dordevic:1 measured:2 support:2 pairing:5 mediate:1 signifies:1 anderson:1 low:1 way:2 fisk:1 slopes:1 specimens:1 formation:1 function:5 insensitivity:4 complete:1 form:4 cuo2:1 but:4 failure:1 heat:1 ho:3 atom:2 line:1 fg02:1 bud:1 coupling:2 directed:1 persisting:1 made:1 applying:1 ux:5 full:1 characteristic:2 flip:3 us:1 crystal:5 below:1 fermi:12 planes:2 fluctuations:2 more:3 similar:2 strongly:4 associated:3 ag:2 classic:1 coincides:1 universal:1 basov:1 metals:1 general:2 littlewood:1 single:6 exist:1 crystals:2 internal:1 triangles:1 physical:1 diego:1 tanatar:2 no:3 dashed:1 whereas:4 when:2 ceirin5:1 field:7 other:2 electrical:4 details:1 department:2 er:3 expected:1 denote:1 dilution:1 excitation:1 superconductivity:11 in5:4 sm:1 includes:1 important:2 log:2 suppression:4 ξa:1 structure:2 isovalent:1 correlated:1 heavyfermion:2 using:3 established:1 holes:1 orbit:1 together:1 inset:3 cerhin5:5 presenting:1 ternary:1 4f:5 nonmagnetic:3 once:1
|
0705.2593.txt |@word distances:1 cdf:15 bottom:1 particularly:1 show:3 bellaterra:1 over:3 dy:2 mainly:1 results:5 infrared:1 indicates:1 underlying:5 uncertanties:1 during:1 remnants:1 d2σ:2 still:1 d2:1 nlo:11 previous:1 pumplin:1 pt:2 based:4 knowledge:1 density:1 energies:1 situations:1 controls:1 presents:1 production:3 black:2 will:2 factor:1 include:1 altes:1 accurate:1 momentum:3 take:1 yi:1 me:1 non:2 yj:1 increased:1 represents:1 smaller:1 vary:1 de:1 possible:1 soper:1 submitted:1 increases:3 ones:1 five:3 effects:3 they:1 invariant:1 clustered:1 using:10 difference:1 rapidities:1 detector:1 understanding:1 institut:1 processes:1 dpt:1 under:1 presented:3 arxiv:1 factorization:1 summary:1 large:1 magnitude:2 decrease:1 soft:1 fragmentation:2 jhep:2 herwig:1 because:1 abulencia:2 energy:2 back:1 related:1 presentation:1 relative:1 used:2 ex:2 measurement:4 antiproton:2 observed:3 event:5 tev:4 longitudinally:1 edifici:1 shapes:1 scale:1 represent:6 space:2 renormalization:1 contributions:2 section:2 measurements:13 rev:5 inside:1 µr:1 particles:1 collisions:3 does:1 dominated:2 d0:1 provides:1 between:6 suggesting:1 new:2 µf:1 correct:2 corcella:1 shows:3 jetrad:3 forward:2 blair:1 run:6 theory:5 uncertainties:12 performed:1 respectively:1 ısica:1 agreement:4 references:1 encies:1 ranges:1 p2t:3 cone:1 turning:1 ratios:3 found:1 probing:1 facultat:1 therefore:1 tevatron:2 respect:1 hadron:9 tuning:1 obtained:2 comparison:2 search:1 central:3 kinematic:1 kij:1 region:3 uncertainty:10 according:1 o:1 hadronization:2 sensitive:2 range:1 most:1 leading:2 corrections:3 pdf:5 contribution:3 shaded:5 hadrons:1 upgraded:1 comput:1 ci:1 commun:1 cn:1 cteq6:4 scales:1 marginal:1 into:2 solve:1 proton:5 highly:1 down:1 jets:8 squares:2 set:1 gluon:3 been:3 parton:6 modeling:4 pdfs:4 total:4 factors:3 size:2 pqcd:10 better:3 given:1 sjostrand:1 hep:2 chad:3 jet:48 indicate:3 data:16 plots:1 predictions:6 approximately:1 next:1 their:1 however:1 workshop:1 low:2 calculations:10 qcd:2 collected:1 sections:11 theoretical:6 pmax:2 more:3 dots:1 acosta:1 ratio:1 becomes:1 1f:3 corrected:3 about:1 overlapping:1 transverse:3 expected:1 repeated:1 nominal:1 systematic:8 particular:1 removed:1 than:3 spain:1 goes:1 applied:2 wide:1 level:8 october:1 mc:1 1m:4 taken:1 was:1 interactions:1 up:3 evaluated:1 preformed:1 collinear:1 determined:1 making:1 average:1 midpoint:1 perturbative:4 control:1 instead:1 seven:1 associated:2 challenging:1 figure:8 inclusive:8 well:1 correction:3 contribute:2 thus:1 discrepancy:1 equal:1 ii:5 dashed:3 good:3 right:1 reports:1 need:1 uab:1 distributions:1 orders:3 gev:11 different:2 compared:5 no:2 carlo:5 nb:2 when:1 cross:13 scaled:1 giele:1 regions:5 field:1 high:5 rapidity:7 bands:5 test:1 φi:1 φj:1 parameter:2 deviation:1 lett:2 monte:5 extended:1 multiple:1 description:1 may:1 max:3 collaboration:5 after:2 effect:1 includes:1 yjet:2 pjet:19 fb:3 important:2 pythia:3 coming:2 included:1 ellis:1 account:1 measured:8 tune:2 safe:1 off:1 center:1 algorithm:11 amount:1 ki:1 min:1 lines:3 pub:1 barcelona:1 prediction:1 mass:1 allow:1 kt:12 abazov:1 physics:1 order:1 fermilab:2 left:1
|
0705.2594.txt |@word limited:1 four:4 spiders:89 assembled:1 poorly:1 whose:4 voter:1 violate:1 segments:4 under:2 slowest:2 intriguing:1 experimentally:1 progression:1 induction:1 solution:5 markov:9 restated:1 direct:1 approximation:1 second:1 chen:2 chem:5 even:7 established:1 above:13 new:6 factorizing:1 coefficient:53 simultaneously:2 never:4 here:12 possibility:1 interpret:1 calculate:5 obtained:7 property:1 study:1 approaches:1 changes:2 bλj:2 mobility:2 replace:2 total:9 unit:1 dna:7 hospital:1 chooses:1 call:2 therefore:11 type:4 relax:1 berlin:1 warm:1 must:4 springer:3 ma:3 work:1 dn2:1 my:2 example:3 give:4 organized:1 generically:1 times:4 guarantee:1 end:2 verify:2 how:2 adjacent:7 answer:2 preferable:1 pipkin:2 description:1 transforming:1 thermodynamic:1 earlier:3 jumping:1 types:1 third:1 leiderer:1 complexity:1 overtakes:1 order:6 restriction:2 kampen:1 over:2 satisfied:1 sch:3 affect:2 satisfies:2 exhibits:2 writing:2 hakim:1 fig:4 maximal:16 eventually:1 them:3 affected:2 detachment:4 effects:2 they:2 singularity:1 eigenvalue:1 chowdhury:2 reasonable:1 each:20 simplified:1 side:2 bond:1 financial:1 24b:4 spider:118 arrives:1 laboratory:1 extract:6 particles:9 re:3 forth:1 39b:4 39a:4 linear:1 little:1 frey:2 pramana:1 estimate:2 guckenheimer:1 generalizations:1 already:2 cytoskeletal:1 another:6 service:1 similarly:2 eqs:11 rates:28 too:1 legs:66 ranging:1 siam:1 xj:8 begins:1 distance:18 zero:1 preparation:1 matter:1 solely:2 perturbative:4 boston:2 mind:1 unbinding:1 seem:1 tells:1 thoroughly:1 latter:6 amusing:3 shall:8 denominator:1 simplify:2 involving:1 phase:1 treats:1 calculated:4 flow:1 principle:1 sum:5 random:7 d2:5 d3:1 proposed:1 41b:1 diffusing:1 situations:2 explain:2 do:5 dl:2 de:1 watson:1 dt:29 ds:5 unfortunately:2 acknowledgments:1 depends:1 w4:1 w3:1 result:14 w1:5 dµ:1 techniques:4 symmetric:23 simplest:5 approach:4 terms:2 nature:3 however:5 harvard:2 ws:9 modeling:1 essentially:3 exceeds:2 variance:2 contribution:1 16l:1 immobile:1 three:3 been:5 quickly:2 much:4 basic:1 relaxing:1 2n2:1 tanh:1 employ:1 information:1 suppose:1 applies:3 balance:6 leaves:2 characterizing:1 seven:1 schaeffer:1 iv:2 ii:5 cond:2 perform:1 make:1 angew:1 wℓ:6 several:2 grows:3 independent:1 nih:1 i2:2 hand:3 normalization:6 hopping:19 academic:1 contact:1 quantitative:1 left:30 just:1 solvability:1 identify:1 yes:1 yet:1 previous:3 adding:1 enters:3 infinitely:1 agile:1 had:2 macdonald:2 βpn:3 possible:16 eorique:1 advanced:1 apart:1 performing:1 steps:2 arbitrary:10 evolutions:1 right:27 probed:1 linearly:1 particular:3 illustration:3 gaits:2 filaments:1 plk:1 properties:3 limitation:1 42b:1 seps:4 soc:3 22l:1 markovian:2 presence:4 thankful:1 acad:2 amsterdam:1 often:1 support:1 initial:1 gif:1 way:2 m1:18 was:8 m0:10 lowest:1 form:1 removes:1 encodes:1 idealized:1 encoded:1 removed:2 true:1 attached:4 maximum:2 centipede:4 shin:1 computing:3 covers:1 levitt:1 proves:1 exist:1 dλ:1 simulations:1 cytoskeleton:1 check:1 regime:2 no:5 whereas:1 generally:5 vanishes:7 setting:2 role:2 a15:2 a14:2 a17:2 a16:2 a11:2 a10:2 a13:3 a12:2 models:6 a18:2 cleaved:1 15a:5 15c:5 15b:2 dissipation:3 assume:5 together:1 time:13 serious:1 n2:4 restored:1 remarkable:1 global:11 focus:3 leads:7 computation:3 βqn:1 certainly:1 technique:6 recurrence:2 finally:4 cumulants:1 analogous:1 string:1 advantage:1 zhang:1 stays:1 exact:6 solves:1 level:1 turns:1 leave:3 solved:2 science:1 quick:13 upper:1 slower:1 findings:1 cosh:1 substitute:1 cargo:1 adds:1 celebrated:1 derrida:11 filled:1 satisfy:2 realizations:1 address:1 alone:1 appears:1 change:1 studied:3 usually:2 locomotion:1 studies:1 emerge:1 useful:3 extra:1 problematic:1 merely:2 prove:1 predictions:1 france:1 memory:5 entrance:1 apparent:1 validity:2 appendix:9 eλ:1 cases:2 thousands:1 meansquare:1 reviews:1 labeled:1 values:3 following:4 detached:3 arrive:4 41a:1 grained:1 allowed:3 counting:1 distinguishable:1 occur:2 verlag:2 fortunately:2 s2:1 discussion:1 write:2 klumpp:2 pure:1 absolute:1 displacements:2 map:2 product:7 mat:2 vidual:1 may:5 neat:4 needs:1 applications:2 drastic:1 2l2:1 stress:1 natural:3 remember:1 succeeded:1 whenever:1 explicit:3 yielding:1 st:2 so:5 sl:1 typical:1 aforementioned:1 indeed:4 mainly:2 years:1 course:5 experiments:1 differs:2 still:3 derive:3 acknowledge:1 pnℓ:5 vicinity:2 decreases:1 main:1 non:6 hop:9 thereby:1 conversations:1 evolution:3 isomorphic:2 half:1 eµ:1 now:9 discuss:2 nor:1 densities:2 term:1 equality:1 unvisited:1 proteins:1 square:4 ed:2 gaps:1 entering:1 happen:1 eq:23 emerges:1 shown:3 factors:1 contained:1 dλ2:1 formula:12 correct:1 shows:2 theory:1 governing:2 quite:1 complicated:4 derivation:5 βs:2 transition:3 motion:10 turn:3 substrates:1 first:9 origin:1 symmetry:1 striking:1 pn2:1 clumsy:1 cybernetics:1 long:7 xs:10 ring:3 open:8 size:1 given:26 biopolymers:3 gives:5 mostly:2 asymmetric:4 pns:1 released:1 x2:10 x0:10 x1:3 than:10 specify:1 connections:1 effective:4 accordance:1 future:2 were:2 outcome:1 questionable:1 san:1 generalization:1 crossover:3 20a:5 20b:3 recover:5 occupied:4 any:4 efficient:1 note:10 take:4 begin:1 multiple:1 track:1 sherman:1 formulae:1 multiply:1 analytically:2 forever:1 especially:1 considered:1 quantity:4 show:5 threshold:2 ground:3 slow:1 written:3 only:12 explicitly:2 get:2 cannot:5 symmetrically:2 conjunction:3 boundary:8 yield:2 predicted:2 mapped:1 reveals:1 relative:1 namely:4 surfaces:1 αs:13 satisfying:1 αv:1 review:1 sites:21 label:1 boundaries:6 behind:2 between:28 geometric:1 notice:1 domb:1 analyzes:1 heterogeneous:4 reaction:1 tractable:2 many:7 yt2:1 according:4 vershinin:1 expression:13 comes:1 actually:2 krapivsky:2 specializing:1 howard:1 direction:1 observe:1 former:2 those:1 case:22 processes:9 lipowsky:2 situation:6 characteristics:3 tasep:6 bias:1 protein:2 different:6 verified:1 same:15 constructed:1 jeffrey:1 investigated:3 trivially:1 driven:2 totally:1 onedimensional:1 solve:4 relied:1 model:4 dimension:5 being:4 when:35 resp:2 rest:2 speed:8 seems:1 lett:5 real:1 around:1 represents:2 rules:1 decomposed:1 sums:2 traffic:1 using:15 particle:21 reduces:6 velocities:3 either:1 always:1 inter:1 stationary:6 deduce:1 matching:1 provided:1 dimensions:1 critical:1 exit:2 provides:1 biased:24 power:1 equivalent:6 evolve:1 ratios:1 explicitely:1 rederived:1 discussed:1 intriguingly:1 obeys:1 neighbor:5 mean:14 cambridge:1 numerically:1 determine:6 einstein:1 elementary:3 24a:4 theoretically:1 log:1 assumed:6 there:12 start:1 low:4 complete:2 tripod:4 displacement:6 2vs:1 duchi:1 applying:2 mukamel:3 agree:1 eigenvector:2 detailed:6 taylor:1 certain:1 describe:1 am:3 general:15 examine:2 file:1 formulation:1 controlled:1 moves:5 again:6 field:6 valid:7 briefly:4 separate:2 drift:3 a1:2 walker:3 a3:2 a2:2 a5:1 a4:1 a7:1 a6:2 a9:2 a8:1 calls:1 tricks:2 mimic:1 mass:3 resembles:1 starting:1 original:2 represent:2 sci:3 consider:11 forbidden:1 cooperative:2 expressions:4 synthetic:2 diffusive:5 combinatorial:1 alberts:1 removal:2 program:2 th:4 stochastic:3 ta:2 straightforward:1 very:9 difference:2 condition:3 sethna:1 hamiltonian:1 large:2 small:9 biological:1 rate:33 perspective:1 further:8 sub:2 nano:1 brackets:1 section:2 method:3 contrast:3 full:2 behaviour:1 tracks:1 ansatz:1 directions:1 strong:1 equations:12 generalizing:1 ahead:2 inspired:1 allows:6 amount:1 periodic:1 specialize:1 via:3 shorthand:2 requiring:1 analyzing:1 establish:1 select:1 environment:1 takes:1 probabilities:4 contains:2 more:17 vl:1 varying:1 known:5 evolves:5 recall:3 equation:23 remain:3 beautiful:1 challenging:1 franosch:2 states:4 unbiased:2 numbers:1 huge:2 respective:1 goal:1 rather:1 maps:1 simplicity:1 ft:7 algebra:1 derived:6 mapping:4 short:2 resemble:2 onto:4 spectra:1 negligible:1 sect:2 fundamental:1 help:1 leigh:1 developed:3 αqn:3 paper:2 through:1 its:13 solving:2 fruitful:1 systems:5 return:1 cea:1 disregarded:1 framework:3 yt:8 2t:3 easily:1 gets:1 2s:4 fully:4 presented:1 2l:8 found:10 2n:1 characterized:2 2k:1 constructing:1 weight:4 quantum:1 event:1 discrete:1 since:9 research:1 dominated:1 denoted:1 issue:1 occurs:2 basu:1 guess:1 extraordinary:1 imagine:1 put:2 beginning:1 definition:1 pairs:3 recast:5 exponentially:2 undergo:1 major:2 probability:6 number:19 maple:1 equating:3 differ:2 introduction:1 leading:1 least:6 assumption:4 expand:1 calculations:1 master:6 molecular:15 shifted:1 part:1 spacings:2 lebowitz:3 diffusion:58 18c:2 18a:2 anticipate:1 determined:4 garland:1 toward:1 pasquier:1 pedestrian:2 elsevier:1 concentration:1 lim:4 self:3 extracted:1 internal:3 generalized:4 analogy:3 play:1 added:2 most:7 nothing:2 kay:1 unequal:1 mobile:1 cover:1 drifts:1 exp:3 velocity:42 physics:3 naively:1 particularly:2 zeolites:1 relation:10 translation:2 current:6 parameters:1 morriss:1 factor:2 18b:1 intractable:2 notation:3 albeit:1 dependent:1 reichenbach:1 closely:1 alexander:1 resolve:1 disregarding:1 factorization:2 investigate:2 set:5 achieved:2 undergoes:1 achieves:1 see:11 individual:1 sec:8 close:3 analog:2 various:5 numerous:1 knowing:1 αpn:1 complementary:2 initially:1 vanishing:1 both:4 last:3 sensitive:1 connection:3 context:2 finds:1 experimental:2 arbitrarily:1 simple:17 asymptotically:1 corresponds:6 ps:1 pp:1 described:2 pt:10 due:3 coarse:1 pk:1 pn:26 empty:10 generating:2 gap:1 understand:1 pierce:1 p1:1 look:1 while:5 ought:1 behavior:9 ǫy:1 mitchell:1 vol:1 motors:6 reads:2 vanish:1 cumbersome:2 lengthy:1 shaw:3 grant:2 emphasize:1 modification:1 higher:1 calculation:4 used:8 comprehensive:1 moving:3 recent:2 eigenvectors:2 lower:1 analysis:10 consistency:2 chemistry:1 λs:7 λt:3 reviewed:1 scales:1 sinauer:1 chou:1 theorem:1 excited:1 tibor:1 bio:1 bit:1 follows:8 separately:1 flux:3 yields:4 schadschneider:2 mathematical:2 methods:3 some:5 back:1 b4:2 understood:2 trends:1 b1:2 b2:3 b3:2 ourselves:1 synthesis:2 scale:1 affects:1 though:1 per:2 pei:1 proc:2 prob:3 inserting:1 object:2 jumps:1 step:9 liggett:1 integers:1 constraint:13 recalling:1 range:1 extensions:1 complimentary:1 into:13 within:7 shed:1 nsf:1 span:6 fast:1 occupy:2 parmeggiani:1 forward:1 analyze:3 sections:1 governs:1 relaxed:1 line:5 directed:2 up:7 us:9 utz:3 fluctuations:1 similar:3 called:2 constant:3 defined:2 influence:2 2qn:2 single:13 associates:1 physica:1 formalism:1 department:1 elements:1 problems:2 fisher:2 structure:2 independently:2 implies:5 practically:2 mallick:3 saclay:1 equivalently:1 depth:1 implied:1 weights:5 far:3 requires:1 having:1 once:2 results:16 eds:1 compact:2 excludes:1 granular:1 mobilia:1 probe:2 dissociates:1 telling:1 matrices:3 entire:4 exits:1 epstein:1 configurations:27 smaller:3 eλy:1 jump:4 dynamics:6 3z:2 plays:1 expressed:1 find:5 cell:1 3l:1 lee:3 leg:54 spacing:1 searles:1 explore:2 108b:1 separation:2 consideration:1 extreme:14 remark:1 involved:1 leaving:1 preferentially:1 makes:2 involves:2 holmes:1 lakatos:1 nearest:5 motor:1 apply:2 use:7 asymptotic:1 usa:4 gallavotti:1 remains:4 bechinger:1 p0:1 next:1 few:1 zia:1 simpler:3 becomes:4 iii:4 account:3 isomorphism:3 integrating:1 challenge:1 anywhere:1 obvious:2 backwards:1 proof:2 control:1 process:19 crick:1 effectively:1 assumptions:1 sought:1 dws:1 lame:19 holds:2 located:1 varies:1 pair:2 attachment:4 animal:1 instead:3 greatly:2 dw1:1 computations:2 light:1 separations:1 correspond:1 element:2 allow:2 evolutionary:2 move:7 interpreted:1 including:1 looks:1 spohn:3 exclusion:22 chosen:1 permanent:2 choose:1 covered:3 outlined:1 realize:1 university:3 sufficiently:2 disregard:2 constraints:5 homogeneous:2 arxiv:2 staying:1 related:2 books:1 computable:1 seeman:3 our:7 transitions:6 special:4 out:2 matrix:16 vch:1 rep:1 rev:15 wich:1 ref:8 announced:3 discontinuity:1 diagonal:1 completely:1 york:4 interaction:4 feasible:3 counterpart:1 length:2 derivations:1 hence:11 evans:7 powerful:1 reached:1 precisely:3 unknown:2 sep:12 system:7 occupancy:1 their:6 intermediate:2 biochem:1 final:4 exactly:3 tacitly:1 distinguishes:1 limiting:2 amplitude:1 bind:2 visited:1 nominator:1 w2:3 behaviors:2 fluctuation:5 cohen:2 need:3 viewed:1 mappings:1 studying:2 physique:1 mechanism:1 instance:2 combin:1 posits:1 who:1 plugging:4 connected:1 intrinsic:2 neighboring:2 stranded:3 indi:1 fact:2 dissociate:1 trivial:2 agrees:1 q1:1 q0:1 based:3 knowledge:1 hops:9 should:4 local:10 hope:1 equilibrium:10 handle:1 displayed:1 overall:2 joint:1 ones:1 words:1 richards:1 qs:1 substrate:8 shu:1 conditions:8 expansions:2 cℓ:2 dpn:4 qk:1 fixed:1 qn:12 requirement:5 multiplying:1 computed:5 exists:2 interacting:8 state:11 closed:1 neither:1 key:1 configuration:14 2pn:4 restrictions:1 limits:1 taking:1 equal:11 etc:1 otherwise:2 cn:1 cl:2 walk:5 cs:1 antal:2 addition:3 trajectory:1 yan:1 treat:1 utilizing:3 define:1 corresponding:9 sufficient:1 bulk:5 c2:1 c1:2 c0:1 present:2 multi:5 value:6 will:3 vi:2 thus:18 site:33 surface:6 vs:2 perhaps:2 unity:1 parts:1 gibbs:3 largest:1 finite:2 difficult:1 effect:1 v2:1 v3:1 infinite:7 pedal:5 identity:2 keep:4 mech:1 center:4 position:5 usual:1 less:3 identically:2 obtain:6 sources:1 uller:1 macroscopic:1 density:8 wei:1 smith:1 lattice:7 add:1 natl:2 dqn:3 stojanovic:2 identical:2 know:2 press:1 like:3 qualitative:1 become:2 replacement:1 exceed:5 because:2 classical:1 phenomena:1 sunderland:1 growth:1 fluctuationdissipation:1 proper:2 transport:2 happens:2 lead:1 avoid:1 does:3 limitations:1 biology:1 11a:2 obey:1 11b:2 expansion:1 although:2 concreteness:3 stage:2 about:7 actual:4 extension:2 column:1 dependence:2 important:3 introduced:2 equally:1 own:1 previously:3 attains:1 chemists:1 van:1 additional:2 function:4 but:10 gait:11 goals:1 partially:1 count:1 made:1 compute:8 placed:1 below:3 limit:4 demonstrate:1 problem:7 mechanics:2 int:1 universal:1 measure:3 denote:3 nishinari:1 identities:1 proceeds:2 diego:1 detail:1 other:12 details:1 stat:6 kolomeisky:4 stay:2 domany:2 pincus:1 4s:1 rule:3 4l:1 4b:1
|
0705.2595.txt |@word limited:2 monte:4 code:4 consider:4 rev:14 magnetic:1 lack:1 desirable:1 results:10 kernphysik:1 existing:3 leads:1 disfavor:1 helped:1 marrone:1 per:3 grateful:1 edu:1 fogli:1 follow:1 osc:2 2r2:1 inverse:1 calculate:2 white:2 extrapolate:1 charge:3 compensate:2 those:4 excluded:1 under:2 atlas:47 ev2:4 include:1 fukuda:1 mehta:2 mpg:4 confirmation:1 worse:2 advantage:1 orthogonal:2 very:9 paschos:1 multi:1 induce:1 mpi:4 yellow:1 summarized:2 mixing:3 experimentally:1 difference:2 severely:1 level:3 midorikawa:1 turns:1 tokyo:1 guo:1 tij:3 large:6 lisi:1 vector:1 indices:1 cms:5 degeneracy:5 jhep:3 strongly:1 smaller:1 casper:1 oscillation:24 deutschen:1 ze:2 sin4:2 sin2:17 sign:2 talks:1 rate:3 design:1 further:5 carlo:4 tev:2 even:10 t2k:8 errors:8 stands:1 comparable:2 section:1 m31:2 current:3 experiment:10 above:2 new:3 acknowledgments:1 contrast:1 montaruli:2 segmentation:1 full:5 degree:1 respectively:1 here:6 σak:1 asymmetry:1 entertain:1 smearing:1 cos2:2 active:1 based:2 strong:2 appears:1 obtained:1 remark:1 colored:2 cern:8 study:6 larger:2 allows:1 superbeams:1 experience:2 products:4 shaded:3 cancellation:1 plotted:1 kindly:1 diameter:1 followed:1 marginal:1 whisnant:1 sample:2 private:1 highly:1 brought:1 visible:1 cons:2 sys:2 1st:1 globes:3 apply:1 resolutions:10 total:6 planck:1 d72:1 plot:2 use:8 d71:1 takes:1 would:9 commun:1 muon:22 give:1 readable:1 d73:1 france:1 scenarios:6 live:2 therefore:1 taken:2 type:1 bethe:1 more:6 separated:1 elliptic:1 upcoming:2 d70:2 robbins:1 battistoni:3 δcp:3 purposes:1 eν:10 integrate:1 appendix:2 excellent:6 calorimeter:6 mokhov:1 factories:1 analogous:1 must:2 high:5 account:4 left:1 sumed:1 b532:1 valle:1 setup:3 des:1 marginalized:1 values:2 era:1 www:2 following:1 making:1 interest:1 aliu:1 reviewing:1 dedicated:4 conf:1 figure:4 lindner:8 calculation:1 organized:1 confused:1 castell:1 νe:9 kamiokande:13 assumptions:2 performed:1 tab:3 times:1 occur:1 absolute:1 information:5 rays:1 winter:7 decaying:1 provide:1 tilt:3 travel:2 species:1 lepton:3 how:1 varies:1 lµ:6 geer:1 plus:1 axis:3 parameter:5 sin:9 astropart:1 suppl:1 product:1 honda:3 may:1 max:1 after:1 aip:1 confirmed:1 reflect:2 wrong:1 plane:2 designed:1 coming:2 geometrical:2 data:12 response:3 types:1 gaussian:1 realized:2 short:1 lhc:8 effective:3 light:1 spectra:2 correspond:7 parameterized:1 bloch:1 perform:2 so:7 allow:3 region:2 daya:1 order:1 triggering:1 burguet:1 uoregon:1 hierarchy:10 developed:1 over:2 mainly:3 confirm:1 years:1 produced:1 course:1 experiments:16 including:2 lipari:1 statistical:3 reconstruct:1 unfavorable:1 still:2 its:2 before:2 regions:3 derive:1 rapidly:1 thank:1 fit:9 decay:3 energies:5 interesting:4 bandyopadhyay:1 petcov:2 decreases:1 better:3 resort:1 detected:2 production:1 degrees:2 fig:8 scribes:1 main:2 might:5 setting:1 arguments:2 maximal:1 them:3 good:6 return:1 φf:2 combination:1 was:2 vectors:1 primary:2 p11:1 tails:1 effects:9 they:6 eµ:3 exploration:1 nov:1 hepph:4 discuss:3 group:2 reconstruction:13 represents:3 february:1 several:4 2r:2 fully:2 university:2 presented:1 2ev:1 realistic:7 diagram:1 mode:1 rock:2 side:1 upward:21 rajasekaran:1 nij:4 significantly:2 accelerator:3 hadronic:7 there:1 energy:29 hard:1 idea:1 sankar:2 inverted:3 expect:1 entering:1 year:3 our:12 operation:3 astroph:1 eq:3 event:12 out:5 gonzalez:1 magnet:1 shown:2 precisely:1 space:1 restricted:2 furthermore:1 surrounded:1 squared:1 factory:1 increase:1 contained:15 investigation:1 dominated:1 superkamiokande:1 formula:3 induced:1 issue:1 shows:2 turning:1 interactions:13 easily:1 abramowitz:1 possibility:2 quite:1 small:3 reason:1 volkes:1 york:1 besides:2 usual:1 ask:1 institut:1 detecting:1 degeneracies:3 interaction:6 rolinec:4 created:1 geometry:4 could:10 omit:1 cosmic:1 days:5 studienstiftung:1 feasible:1 length:1 edges:2 place:4 massive:1 b592:1 signature:1 hence:1 b456:1 hadrons:2 indispensable:1 first:5 already:1 isbn:1 probability:1 relate:1 number:8 channels:2 wash:1 set:1 done:1 fluxes:3 angular:11 ninth:1 given:6 gpo:1 checked:3 introduction:1 leading:9 crossings:1 system:4 least:1 their:1 assumption:1 rates:2 too:1 calculations:1 travelled:2 final:1 low:6 shifted:1 shell:1 parc:1 way:1 estimate:2 relative:2 contribute:1 lower:2 binned:1 part:3 believe:1 than:8 smirnov:1 wide:1 kind:1 stanev:1 determines:2 target:5 double:3 require:1 gaisser:1 typically:2 zero:2 project:1 matter:9 future:3 yang:1 iron:1 spoiled:1 identical:1 radius:1 gives:1 hypothetical:1 comput:1 stegun:1 e5:1 tech:2 boston:1 modern:1 measure:1 spectrum:6 paramaters:1 cylindrical:1 seen:6 confirms:1 any:1 relatively:1 angle:15 essentially:1 latter:1 able:1 ideas:1 note:4 fitting:1 potential:3 take:5 schematically:1 negligible:1 detector:27 projects:1 channel:3 blue:1 schwetz:5 goswami:4 scripta:1 though:2 track:3 collaboration:2 measures:1 neutrinos:28 compare:1 accurately:1 most:6 beta:1 regular:1 germany:1 significant:2 phase:1 bahcall:1 hoped:1 measured:1 astro:1 especially:2 windows:1 sala:2 chosen:1 adopt:1 cover:2 km:2 m231:18 definitely:1 cloaked:2 principle:1 exp:3 kt:4 systematical:9 physics:7 fact:1 ghoshal:2 lc:1 atmosphere:1 hyper:2 reactor:4 show:6 text:1 scattered:1 b608:2 url:5 threshold:4 earth:1 rough:1 determined:1 choubey:1 technologies:1 eνk:9 ground:1 ratio:1 just:1 parameters:15 much:2 enough:1 should:5 jan:1 hypothesized:1 only:22 going:20 postfach:1 factor:1 acknowledge:1 employed:1 constant:1 sensitivities:2 mena:1 rectangle:2 do:2 gev:11 notation:1 distance:2 dependent:1 beams:1 de:6 overall:2 assumed:4 cannot:2 valuable:1 aforementioned:1 despite:1 during:9 kopp:2 conjunction:1 secondary:3 resolve:1 optimistic:3 luminosity:3 arxiv:1 extends:1 yield:3 bay:1 garcia:1 paper:1 nakamura:1 through:2 d57:1 distinguishes:1 bars:5 barr:2 thesis:2 achieved:1 sensitivity:17 correlations:4 notice:1 ables:1 maximum:1 detection:3 mentioned:1 see:4 sec:8 result:1 enhanced:1 muonic:1 discussions:1 close:2 contour:3 best:1 phases:5 detect:3 record:1 a3:1 rep:2 groom:1 outside:1 difficulties:1 identification:2 between:6 probably:3 justified:1 bunch:1 email:2 discovery:2 available:1 multiplied:1 externally:1 various:2 terms:4 horizontally:1 jp:1 however:8 efficiency:4 vanishing:1 fluctuations:1 article:2 improve:1 concentrated:1 reaction:1 cos:12 providing:1 folding:1 ilc:16 many:1 taking:2 directional:1 ramp:2 σf:2 attributed:1 sensitive:3 mev:2 dated:1 context:1 operating:1 kasahara:1 argue:1 whole:1 comes:1 originating:1 relevant:1 point:1 reasons:1 each:2 cf:2 ingoing:1 height:1 directions:2 lhcc:1 anti:6 shutdown:2 2σe:1 moreover:3 highenergy:1 throughout:1 worthwhile:1 pp:2 pq:1 collider:3 second:1 tilts:1 addition:1 discrimination:1 three:10 been:6 int:1 magnetized:1 describes:1 deposited:1 maintenance:2 certain:1 collected:1 muons:16 ph:26 summary:1 define:1 hernandez:1 θk:2 direction:9 arises:1 corresponding:1 θl:4 clarity:2 sufficient:3 precision:3 binning:2 hepex:1 c13:7 noνa:2 external:1 angles:2 general:1 irrelevant:1 present:3 case:9 inhibit:1 atmospheric:31 nishikawa:2 pacs:1 reliable:2 empirical:1 value:5 baselines:1 will:28 technical:2 while:6 evaluating:1 error:2 situation:2 barger:1 σa:1 procedure:1 eidelman:1 bin:3 sizeable:1 zenith:10 almost:1 averaging:1 tabl:1 thus:1 non:1 according:4 ii:2 superconducting:1 ij:4 σe:4 pµµ:2 collier:1 technology:1 φr:3 since:9 considerable:1 generic:2 corresponds:1 intrinsic:1 cross:5 same:1 clearly:1 k2k:2 reconstructed:3 pac:1 emphasize:1 widely:1 uncertainty:2 finite:1 solution:1 events:26 higher:1 week:1 used:6 http:5 yao:1 effect:2 hand:1 driven:2 average:2 running:7 levels:2 superbeam:1 pdf:2 a2k:1 michael:1 normalization:5 subleading:2 tracking:3 off:2 scenario:8 performance:4 expression:2 itself:1 roughly:1 analysis:6 without:1 components:1 simulated:4 arising:1 drawing:1 chooz:5 charged:5 zα:2 distances:1 proposed:1 dover:2 being:3 estimates:3 observed:1 obtain:2 competitive:3 detail:1 assigned:1 shape:1 ch:1 atomic:1 cadenas:1 useful:1 flavor:7 yet:1 tables:1 like:5 generator:1 conclusions:2 yu:1 smith:1 except:1 capabilities:2 signals:1 simple:2 m221:5 other:8 pile:2 treatment:1 manfred:1 input:1 mod:1 ferrari:2 heidelberg:1 πr2:2 real:2 umi:1 around:2 depends:1 disappearance:2 read:2 measurement:3 possible:8 dφr:1 dark:1 palazzo:1 vacuum:1 sampling:1 advanced:3 ruled:2 g33:1 necessary:1 particle:3 onion:1 follows:2 reduces:1 b645:1 specific:1 flux:6 ashie:2 yields:1 gandhi:2 maltoni:1 setups:1 become:1 downward:1 log10:1 signal:1 mathematical:2 indications:1 because:3 formulas:1 interact:1 some:1 octant:1 global:3 calculated:2 itow:1 examples:1 complete:1 table:2 oscillations:16 bins:4 neglecting:1 neutrino:50 provided:1 scale:1 sufficiently:1 electromagnetic:1 measurements:4 joachim:1 conservative:4 depletion:1 machine:1 uma:2 assuming:1 prog:1 proc:2 numbers:5 limitations:2 ohlsson:1 marfatia:1 workshop:1 ayres:1 calorimeters:1 reaching:1 huber:7 vannucci:3 confidence:3 biases:3 although:3 plots:1 approximating:1 super:13 properties:2 messier:1 comparison:2 about:1 developped:1 d74:1 discussed:1 factors:1 o:2 simulation:5 gavela:1 probabilities:1 range:6 statement:1 ensure:1 greatly:1 d65:2 introduced:2 slightly:1 contours:2 graphs:1 plethora:1 previously:1 communication:1 into:4 within:1 integral:1 bound:2 due:10 down:2 lies:1 tortola:1 right:1 cent:1 determine:1 accumulated:1 gomez:1 unambiguous:1 uncertainties:4 johansson:1 statistics:5 hep:31 cdsweb:1 prospects:1 support:2 initial:3 question:1 nucl:5 nova:2 doing:1 trigger:1 handbook:1 inner:2 fraction:1 ed:1 analyze:1 sections:5 a2:1 function:5 azimuthal:3 form:2 great:1 but:8 sophisticated:1 volume:5 expected:9 neutral:1 construction:1 atom:1 line:1 true:4 proposal:1 hd:4 partially:1 pull:3 whether:1 characteristic:1 inside:2 systematics:1 up:7 us:1 ur:1 resolved:1 dφ:1 below:3 limit:2 akhmedov:2 demonstrate:2 minos:5 similar:4 called:1 ex:8 detailed:4 kh:1 associated:1 magnets:1 armstrong:1 ln:1 defined:3 detectors:8 ak:1 describe:1 influence:1 nunokawa:2 denote:2 peres:1 conserved:1 xiii:1 kajita:2 simulations:7 accounting:1 jk:1 functions:1 discriminate:1 conjuction:1 no:3 tenth:1 when:1 green:1 reality:1 field:1 unambiguously:1 details:3 normal:4 compete:1 er:1 leptonic:1 poor:5 briefly:1 nuance:1 printing:2 vertex:1 a18:1 a1:1 chance:1 important:2 nucleus:1 a4:1 studied:1 minakata:2 structure:2 exposure:1 assume:3 requires:1 required:1 disfavoured:1 mass:12 roy:1 time:6 far:2 4e:1 resolution:16 lett:9
|
0705.2596.txt |@word neighbors:1 positions:2 dou:1 sci:3 consider:4 springer:1 qian:2 rev:7 global:9 results:11 leads:8 catch:1 generalize:1 spiders:40 computation:1 consists:1 remarkably:1 gk:7 reasoning:1 synthetic:3 whose:3 terms:3 calculate:1 nfn:1 segments:5 pierce:1 passage:5 environment:3 finally:4 program:2 tk:1 cumulants:1 include:1 tc:2 ta:2 mobilia:1 case:9 conjecture:3 probe:1 consequently:1 returning:1 very:4 keeping:1 seemingly:1 focus:1 stays:3 affect:4 difference:2 exact:7 entire:2 34a:1 exits:1 presented:1 turns:1 tanh:4 t2:3 t3:1 t0:1 t1:1 leave:2 discrete:2 epstein:1 science:1 small:1 markov:1 lines:1 related:3 configurations:1 slow:1 work:1 slower:1 grateful:1 findings:1 direct:2 modified:1 past:2 rate:13 perfect:1 rigorous:1 further:2 dynamics:2 estimated:1 aptly:1 theory:4 even:3 established:1 sub:2 nano:1 3r:2 section:1 ǫq:1 uniform:3 above:9 new:27 increasing:1 ever:3 equivalent:1 coefficient:12 led:2 ibid:1 leg:50 respectively:2 never:1 spacing:2 here:6 tracks:2 objects:1 them:2 sinh:4 others:2 directions:3 along:3 strong:1 equations:1 appears:1 change:2 extreme:1 obtained:2 rdt:2 generalizing:1 study:1 studied:2 allows:3 frey:2 later:1 suggests:2 periodic:1 situations:2 slowed:1 had:2 makes:4 exited:4 named:1 via:1 shorthand:2 convolution:1 merely:1 explained:1 prefer:1 replace:1 scaled:2 analyzing:1 evans:1 motor:1 apply:1 kozma:1 total:1 establish:1 unit:2 readily:1 tn:25 use:5 prescribing:1 dna:9 takes:2 usa:4 tn2:4 distinct:3 visit:3 rightmost:10 next:2 comparing:1 monotonically:4 therefore:5 memory:19 goldberg:2 stage:1 type:2 theoretical:2 possible:1 more:16 separated:1 becomes:8 acceptable:1 apparent:1 distribution:14 surprisingly:1 berlin:1 appendix:3 everywhere:2 proceed:1 particular:1 known:1 cases:1 iii:5 must:1 account:4 ma:3 characterize:1 recall:1 equation:6 averaged:1 detaches:1 infinitesimal:1 values:2 following:4 making:1 arrive:5 example:1 initial:3 nearest:4 weaker:1 challenging:2 franosch:2 do:1 process:2 suggestions:1 crick:1 morozov:1 effectively:3 times:2 occur:1 firmly:2 end:2 goal:1 s3:2 acts:1 feature:4 revisit:1 write:2 how:2 occasionally:1 attachment:1 adjacent:2 simplifies:2 instead:2 flow:1 unvisited:7 basdevant:1 map:1 product:8 blocks:1 description:1 may:3 earlier:3 derived:2 mapping:1 corrections:1 zerner:1 mai:1 law:2 types:1 gaussian:5 short:1 natural:1 outline:1 effective:14 computations:1 bind:1 generating:2 grant:2 appreciate:1 think:1 sk:4 so:3 substrates:1 allow:1 keeps:3 challenge:1 subsequently:1 heuristically:1 order:2 typical:1 evolutionary:2 exploited:1 leigh:1 avraham:1 kampen:1 developed:1 over:2 move:5 years:1 course:1 experiments:3 through:4 looks:1 sunderland:1 experimentally:1 differs:2 still:2 its:12 before:2 τn:17 derive:1 τj:2 exclusion:3 acknowledge:1 ln:3 interesting:3 solving:2 yan:1 decreases:5 actually:2 fic:1 according:1 systems:1 van:1 benjamini:1 covered:3 main:2 might:1 alter:1 klumpp:2 maximal:5 non:5 affected:2 hop:5 thereby:2 numerically:3 fig:6 attains:1 scaling:3 constants:1 detachment:1 effects:2 they:1 half:4 anticipates:1 now:7 yu:1 discuss:1 nor:1 fields:2 2t:2 chemists:1 term:9 finite:2 34b:1 2r:4 intuitively:1 elson:2 always:3 university:4 proteins:1 chowdhury:1 2f:2 2a:2 truth:1 each:3 2l:1 references:1 2n:6 taylor:1 side:5 bond:1 financial:1 another:1 doing:1 series:1 hard:1 spider:63 used:4 slowdown:14 literature:1 computable:1 interplay:1 amsterdam:2 our:4 explains:1 eq:3 special:1 mat:2 try:2 simplify:1 solved:1 jump:6 since:15 crucial:1 dickman:1 increase:2 re:1 investigation:1 performs:2 formula:1 newly:3 ref:3 integrated:1 math:3 shows:3 after:6 linear:2 given:7 monotonic:1 nth:1 approaches:1 complicated:1 york:1 trends:1 imagine:1 put:1 region:4 definition:7 backwards:1 derivation:1 applications:1 starts:4 could:1 keep:1 motion:10 turn:2 length:3 place:1 hopeless:1 hence:13 probab:5 onto:2 assign:1 speeds:1 first:45 origin:1 already:9 probability:32 striking:1 third:1 collagen:1 number:27 reaches:4 approximate:3 clear:1 symmetry:1 cybernetics:1 biol:1 directly:2 precisely:3 open:1 several:1 accommodate:1 size:1 equating:1 differ:1 xie:1 similarly:3 introduction:1 leading:9 eqs:1 behaves:2 intriguing:1 their:4 returns:1 assumption:3 rates:13 fn:13 calculations:3 biochem:1 legs:26 final:1 redner:2 gives:5 back:3 excellent:3 wang:1 explanation:1 exactly:2 2ak:4 prediction:3 employ:1 weakly:2 somewhat:2 off:1 cosh:2 than:4 accelerates:1 diffusion:13 distance:7 molecular:10 determines:1 unfortunately:1 see:9 future:2 amplitude:5 were:2 visited:43 providing:1 solely:2 behaviors:2 irreversibly:1 generality:1 boston:2 pro:1 occupies:1 argument:7 crossover:1 chen:1 say:2 angew:1 parameter:1 need:2 elsevier:1 saw:1 any:8 relatively:1 acceleration:1 wilson:1 chem:4 mappings:1 convenient:1 latter:2 mechanism:2 predominantly:1 note:9 instance:2 belief:1 take:2 analogy:1 negligible:1 singh:1 sn:2 closer:1 begin:1 towards:3 altered:1 trace:1 shall:6 track:1 decreasing:2 reach:2 plugging:1 an4:1 most:1 involving:1 an2:1 kay:1 analytically:1 segment:2 class:2 prove:1 especially:1 surprising:1 characterizes:1 considered:1 neighboring:2 average:19 stranded:4 cover:7 looked:1 points:1 exp:3 subsequent:1 north:1 duplication:1 physics:3 sum:3 quantity:6 currently:1 particularly:1 show:1 absorbing:1 random:41 dissociate:1 relation:2 stepping:1 walkers:2 find:3 nishinari:1 boundaries:2 q2:1 ratio:3 knowledge:1 hops:12 much:1 writes:1 state:1 should:1 being:1 only:10 going:1 subsection:2 molecules:1 factor:2 rephrase:1 local:4 dn:2 dtk:1 intractable:3 slows:5 dk:1 notation:4 di:1 property:1 simplest:2 overall:1 reichenbach:1 watson:1 cannot:2 closely:1 during:4 symmetrically:4 conjunction:1 neither:1 differentiating:1 holland:1 reveal:1 runs:2 volkov:1 substrate:11 shu:1 granular:1 approach:2 arxiv:6 expansions:1 yield:2 acknowledgments:1 investigate:2 paper:2 mapped:1 cℓ:2 qk:6 valid:3 remains:3 characteristics:1 ignored:1 requirement:1 computed:6 exists:1 notice:2 arrives:1 plausible:1 trick:1 namely:4 actively:1 sec:9 result:4 sea:1 uller:1 close:1 dµ:1 outward:4 subject:1 surfaces:1 puts:1 visiting:2 jumped:1 review:1 nature:4 sites:80 tend:1 symmetric:8 numerous:1 written:1 determined:1 various:3 between:8 simplifying:2 boundary:4 conditions:2 tried:1 knowing:2 replacing:1 ends:1 realizations:2 recently:1 complementary:2 however:6 supports:1 harvard:2 hypothesis:1 analyzed:2 configuration:12 alters:1 both:6 repeating:1 limits:1 2k:1 many:3 taking:2 density:6 equal:4 called:3 fluctuation:1 etc:1 context:1 comm:1 contribution:1 mean:7 expression:1 cosech:1 experimental:2 otherwise:1 ck:4 collecting:1 presumably:1 cn:2 cm:5 point:1 simple:9 seems:1 asymptotically:5 corresponds:3 walk:58 dimensional:4 diverges:1 simply:1 stretched:1 shin:1 writing:1 krapivsky:2 pr:3 antal:3 pp:1 immobile:1 second:4 howard:1 stretch:1 trajectory:2 ben:1 due:3 been:8 int:1 describes:2 recognize:1 ann:1 empty:2 define:1 asymmetrically:1 corresponding:2 2m:1 quantities:3 natl:2 coincides:2 understand:1 c3:1 c2:1 c1:1 denote:2 irrelevant:3 present:2 cesses:1 multi:3 processes:4 stochastic:2 laplace:6 lipowsky:2 hat:1 routes:1 easier:1 will:8 while:6 suppose:1 stojanovic:1 behavior:15 applies:1 situation:1 revisited:2 gave:1 mitchell:1 inspired:1 procedure:1 larger:1 a4:1 geometric:1 averaging:1 refs:2 walks:1 thus:6 site:39 surface:5 iv:2 ii:6 middle:1 expressions:1 bias:25 cond:2 dual:3 argue:2 return:1 zhang:1 exiting:1 vershinin:1 different:4 righthand:1 satisfy:1 perhaps:1 large:2 make:2 same:13 clearly:1 read:1 unity:1 nonmarkovian:1 stepped:1 gets:1 grows:5 consequence:1 difficult:2 calculation:3 investigated:1 imply:1 2dt:2 effect:3 hand:6 moment:2 moving:3 infinite:2 pedal:3 normalization:1 recent:1 relies:1 mech:1 kept:1 center:9 hopping:12 fully:3 nevertheless:1 changes:3 well:2 davis:1 analysis:2 concrete:1 without:8 comes:1 position:17 model:2 chemistry:1 dimension:2 πa2:2 left:14 gates:1 just:2 less:3 moments:2 generally:2 observed:1 obtain:10 front:2 integer:1 elect:2 yet:1 previous:1 conclusions:2 agile:2 conclude:2 character:1 weiss:1 confirmed:1 lattice:6 interested:4 lett:2 easy:1 hind:1 sokolov:1 solvable:1 excited:12 ought:1 tibor:1 identical:1 bio:1 aspects:1 around:1 depends:2 rules:1 showing:1 inversion:1 possibly:1 increases:5 reads:1 know:1 guide:1 press:1 using:4 bit:2 apart:1 loss:1 nsf:1 counterintuitive:1 like:1 particle:7 identifying:1 follows:4 reduces:1 specific:1 mirror:1 continue:1 steps:6 either:6 arbitrary:5 schadschneider:2 leaves:2 works:1 interestingly:1 replacement:1 therein:1 right:26 methods:1 some:5 stat:1 calculated:2 strongest:1 growth:5 acad:2 escape:1 proper:1 nih:1 reasons:1 superposition:1 happens:4 dimensions:2 affects:6 sinauer:1 though:1 forcing:1 whole:3 probed:1 does:9 exit:8 pei:1 dissociates:1 parmeggiani:1 proc:2 prob:3 biased:3 sherman:1 infinitely:1 jumps:10 blumen:1 agreement:5 step:8 biases:1 found:3 concreteness:1 plk:1 properties:2 asymptotic:7 integers:3 exhibit:1 would:2 constraint:5 island:4 am:3 bgk:1 dependence:2 o:9 simulation:2 probabilities:4 misleading:1 greatly:1 neighbor:3 introduced:1 slightly:1 gamma:2 allowing:1 soc:3 cambridge:2 markovian:5 flawed:1 previously:3 noting:1 into:8 integral:1 bound:3 22a:1 negative:1 down:12 explain:2 accounts:4 determine:1 elementary:1 seeman:3 motors:4 theoretically:1 a3:1 span:1 additional:1 area:1 measured:2 support:2 there:1 transform:6 long:6 jeffrey:1 start:2 quadratic:1 ed:2 forward:9 analyze:4 was:2 a2:11 function:8 pemantle:1 form:3 fibrils:1 believe:2 but:7 gait:3 neutral:1 underestimates:1 helpful:1 line:1 approximation:2 true:2 faster:2 commun:1 made:1 compute:7 qualitative:1 inside:2 attached:1 up:5 us:6 until:1 limit:14 problem:9 similar:2 display:1 recalling:1 mechanics:1 interval:13 proved:2 defined:1 certain:1 describe:1 influence:2 direction:2 slowing:5 general:5 unbiased:1 duration:3 single:5 associates:1 pushing:1 simulations:4 a7:2 collier:2 cytoskeleton:1 moves:5 proceeds:1 constructed:1 incorrect:1 again:7 functions:1 no:8 werner:1 dashed:1 when:18 other:8 dt:17 details:1 department:1 mathematics:1 out:2 naive:1 conclusion:3 draw:1 repeat:1 generates:2 models:2 problems:4 kolomeisky:1 visits:5 cleaved:1 a1:1 chance:1 important:5 a5:2 graphically:2 additionally:1 a6:2 variable:1 sider:1 independently:1 backward:6 longer:2 assume:3 mallick:2 required:2 4r:5 theor:1 rule:1 mimic:1 mass:8 time:57 walker:16 n2:4 n3:2 starting:2 original:3 once:1
|
0705.2597.txt |@word homomorphism:17 consists:12 whose:7 paris:1 under:25 hermann:1 spec:12 γd:3 conjecture:4 flasque:8 replaces:1 every:1 supports:4 z12:4 z11:7 vector:1 math:9 indices:2 degeneracy:2 speck:1 codim:1 direct:29 approximation:2 second:8 perfect:24 ihrer:1 filtration:5 ˆv:2 above:38 new:9 increasing:7 ever:1 consisting:2 γz:30 equals:9 here:8 represented:8 path:1 obtained:2 glm:1 gln:7 study:2 godement:2 sbornik:2 suitable:4 projection:14 txi:1 replace:5 univ:2 would:2 cohomological:2 inductive:10 therefore:25 m3:8 type:59 until:1 separated:1 yr2:3 cycles:9 hold:1 tx0:2 springer:2 join:3 divisors:16 work:1 mi:7 mk:6 theories:4 ij:2 mq:2 fη0:26 example:14 give:5 organized:1 ebriques:1 want:1 reprove:1 end:3 provide:1 globalization:2 quillen:12 description:2 laf:1 after:8 diagram:23 computation:1 law:6 types:1 effective:3 chern:1 decreasing:5 order:6 operations:1 restriction:26 over:106 satisfied:8 satisfies:21 before:5 sheaf:90 maximal:3 them:6 combination:1 biextensions:1 they:6 represents:2 arrow:1 each:65 side:11 associative:8 schemes:27 independent:2 series:1 poincare:1 combining:6 ru:1 rp:12 rq:1 restricted:8 rf:17 rl:8 rm:6 rn:2 ri:18 surveys:2 free:3 ascending:1 admits:2 σy1:1 r1:13 starts:1 δip:2 uses:6 onto:1 separable:1 already:1 restrict:1 relations:1 another:1 cartesian:3 similarly:2 tor:1 twisted:1 needed:27 too:1 tool:1 finitely:4 classes:10 tion:1 modern:1 raw:2 ras:1 seen:5 seem:2 tells:2 contents:1 documenta:1 homological:2 though:4 object:4 complexes:59 regular:14 letter:1 yp1:1 points:50 quasicoherent:4 section:29 reductions:1 analogue:4 d1:2 proposed:2 topological:6 completes:1 ematiques:2 do:9 dh:3 di:4 df:4 dg:16 dd:2 de:4 db:1 dc:3 da:1 dx:11 gl1:2 du:3 dr:2 runs:3 bar:3 covering:4 fields:1 adelic:97 nα:8 reference:1 depends:2 projections:1 discussions:1 said:1 tensor:1 rings:8 simplest:2 approach:1 check:1 embeddings:5 extend:1 restricting:1 weak:7 however:5 cousin:15 topology:2 fnu:4 cox:1 fnx:44 und:1 appeared:1 height:1 gxx:1 commutative:10 puts:1 union:12 three:2 been:4 interest:2 basic:2 expected:1 inventiones:1 algebras:2 exactness:2 coherent:15 subvarieties:34 applied:2 aim:1 suppose:80 intas:1 aij:3 property:7 iy:5 ix:3 iz:9 ip:111 iu:5 iv:6 ii:28 ik:5 cocycle:24 im:12 il:47 id:8 containing:26 make:2 dition:1 complex:115 several:3 meets:3 i1:10 i0:75 i2:5 counterparts:1 hand:19 a2k:1 cycle:6 y12:4 left:7 graded:3 just:1 subsheaf:5 via:7 facts:2 previous:4 infinitely:2 had:2 patching:35 belongs:7 collections:13 easy:1 hat:1 unster:1 advances:1 parshin:9 possible:4 iη:11 possibly:1 unique:1 disadvantage:1 steps:2 arbitrary:13 subschemes:2 right:20 old:1 zariski:4 bottom:3 comments:1 huber:2 pose:1 properties:10 takes:1 beilinson:6 o:6 mazo:1 suslin:2 down:1 remarks:1 rγz:1 support:37 initial:2 transform:1 tame:2 way:10 was:7 grenzgebiete:1 form:4 differences:1 true:8 supx:1 bivariant:2 inside:7 k1x:5 different:9 coverings:1 proved:7 codimensions:5 abstract:1 proven:1 proves:2 exist:10 dη:8 dγ:1 constructed:7 ni:2 nj:2 no:18 generally:1 role:1 functorial:2 ξp:4 why:2 describe:3 ξl:1 scient:1 assume:8 interval:1 modules:4 together:1 time:1 backward:2 chain:1 global:3 focus:1 leads:3 mild:1 ηi2:1 grateful:2 ηi0:5 devoted:1 inverse:5 technique:2 finally:8 bqp:1 analogous:13 advantage:3 ηil:97 ηik:65 dokl:1 choice:1 ηir:8 exact:40 dim:29 riemann:1 presented:1 did:2 turns:1 osipov:1 discrete:3 div:4 der:1 says:2 adeles:42 sign:6 krull:1 spectral:3 stands:3 uniform:2 zri:1 satisfy:6 tangent:2 groups:83 along:3 xη:19 change:3 zr2:8 zr1:16 institute:1 hospitality:1 νu:5 useful:1 subcategory:2 compare:2 f3:4 additive:1 prove:19 covariant:3 positive:1 sµ:1 associated:15 diagrams:3 duality:2 νy:3 cases:3 avoiding:1 soul:2 following:66 fulton:1 claim:26 subcategories:1 spi:3 evidently:9 verlag:1 howe:1 s2:3 s0:1 write:1 yη:5 pure:22 map:86 product:56 may:28 residues:2 applications:4 data:1 natural:96 varieties:11 whenever:2 maybe:1 explicit:18 so:2 definitions:1 sd:3 milnor:2 indeed:7 pointed:9 steklov:1 group:40 thank:1 tori:1 coordinates:1 forms:1 mail:1 main:16 closure:4 non:17 introduce:5 identically:1 now:13 discuss:1 term:6 equality:12 arrows:4 roch:1 en:15 λc1:1 gersten:42 ed:1 ec:1 ex:3 ep:2 shown:5 space:10 furthermore:2 contained:30 rational:18 fy:22 formula:29 squares:1 correct:1 shows:4 theory:49 λcf:1 advantages:1 besides:5 λci:3 axioms:4 e3:2 e2:1 equidimensional:51 βw:4 βp:2 language:2 place:2 first:16 origin:1 xi:9 subcomplex:2 xd:1 xz:2 dega:2 xx:3 xy:1 directly:4 impossible:1 ring:16 open:82 xw:2 1p:1 given:36 checked:1 zs1:17 zs2:1 1y:2 1x:1 indicate:1 structures:1 speaking:1 gives:1 continuous:1 x0:5 representing:1 than:3 coefficients:5 require:3 were:1 generality:1 ann:2 argument:5 generalization:3 say:10 adele:26 any:236 functors:6 note:19 take:7 formulas:3 opposite:1 fcx:7 algebraic:14 satisfying:7 pair:34 considered:11 later:1 cosimplicial:10 show:9 notations:11 spaces:16 ground:4 homology:41 fibrations:7 enough:8 only:9 explicitly:11 get:38 uiα:1 cannot:1 aη:4 enjoys:1 prime:1 kaledin:1 kernel:3 imposing:1 j0:10 closures:2 relative:1 namely:11 y0:3 αp:8 αr:2 αw:9 outside:7 between:11 geometric:7 quasiisomorphic:3 notice:3 vertical:6 jq:12 inclusions:4 comm:1 analyzed:1 come:1 concentrated:3 σj:1 many:10 σy:2 embedding:26 expression:1 fix:2 u0α:1 pole:2 grants:1 moreover:11 fj:7 locally:29 γf:2 combined:1 motives:1 direction:1 standard:4 case:25 developing:1 might:2 middle:6 regularity:1 fibration:1 quasiisomorphism:16 k2x:5 develop:1 author:6 same:33 poincar:2 extended:1 sred:10 roughly:1 without:2 components:38 model:1 dimension:18 being:1 when:8 rest:1 cm:3 conclude:4 seems:3 except:1 improvement:1 zl1:3 yw:2 zl2:3 rost:2 around:2 read:1 sums:2 using:16 zlj:1 either:2 δp0:1 multiplicative:8 reduced:9 alternated:1 ideles:7 thomason:1 images:4 nonzero:1 crystalline:1 dimensions:1 decomposition:1 provides:4 ξr:3 equivalent:7 arithmetical:1 injectivity:3 comparison:2 central:1 oi:2 discussed:1 ue2:1 oz:1 oy:3 ox:34 mixed:1 acyclic:6 os:7 morphism:102 ηd:9 inclusion:10 image:18 ηl:40 ηk:35 ηj:6 ηi:23 references:1 ηr:8 ηq:4 ηp:87 assumed:1 strictly:5 there:167 start:1 low:1 complete:8 enlarging:1 ωy:2 ωx:2 applying:1 ωs:1 u02:1 homotopy:34 u01:1 strongly:18 ad:7 ag:1 ai:1 certain:16 ak:1 uij:1 general:10 loops:3 ar:1 formulation:1 truncation:2 again:2 mathematik:1 mathematica:1 zq1:1 field:64 valid:1 mathematics:8 symbol:2 a1:6 important:3 bounded:2 included:1 curve:10 resolution:19 represent:1 consider:67 alg:1 lack:1 alb:1 sergey:1 commute:1 generalize:1 presheaves:2 follow:3 reasoning:4 corps:1 tx:4 equivalence:6 th:3 norm:1 straightforward:1 very:1 induce:2 gz:6 corollary:49 difference:2 condition:32 prolonged:1 small:2 anal:1 neighborhood:2 ηi1:12 zero:30 pass:2 further:11 reine:1 canonical:17 residue:7 what:6 abh:1 sum:16 pic0:14 version:9 intersect:11 sup:1 method:2 contrast:1 full:2 component:54 ranges:2 strong:1 equations:2 divisor:17 allows:4 action:1 y11:5 quotient:2 uniquely:2 bqm:22 homotopic:4 establish:2 readily:4 proceed:1 levine:1 contains:17 quasi:1 comparing:1 ψl:6 taken:38 more:9 flat:3 flag:50 particular:31 known:5 projective:10 recall:17 equation:2 canonically:5 deg:5 f0:6 f1:8 f2:7 νv:3 νp:7 stated:4 suggestions:1 νx:24 numbers:7 hyperplane:3 sense:11 νl:1 νk:2 rather:1 enlarge:2 maps:27 fp:21 simplicity:1 fu:24 fv:10 algebra:2 fx:33 algebro:1 fz:10 derived:1 mapping:1 reflect:1 fc:7 fd:2 ff:1 horizontal:4 geometrical:1 fm:25 fn:138 short:2 hfp:1 spectra:1 parameterized:3 pleasure:1 fη:38 developed:2 fξ:1 paper:2 through:3 y1:12 existence:12 its:11 yekutieli:1 controllable:19 picard:2 affine:8 actually:8 systems:23 sheaves:92 yi:20 good:11 yl:12 ye:2 yf:8 sssr:3 yp:21 ys:2 yr:16 bigger:1 easily:6 homomorphisms:4 always:4 irreducible:112 found:1 reduce:1 idea:1 functor:12 expect:1 funct:1 since:30 induces:6 denotes:15 izv:2 denoted:1 induced:10 occurs:1 fiber:4 localization:6 base:1 put:69 definition:34 pairs:13 omit:2 consequence:1 relate:1 number:8 done:1 least:23 hochschild:1 introduction:3 generalities:5 construct:6 assumption:8 statement:13 scheme:51 calculations:1 akad:2 part:10 deligne:1 tive:1 double:1 contravariant:1 determined:1 stalk:1 treated:2 analysis:1 macaulay:12 dη0:20 constructions:3 built:1 lil:14 lim:32 k2:6 k1:4 k0:7 most:6 nothing:6 tξ:2 dηs:1 kd:4 tη:6 clear:1 sometimes:1 coincides:9 kn:34 km:18 tα:2 kq:2 kp:5 kv:7 ky:9 usual:4 hyper:1 relation:6 find:1 completion:2 quasiprojective:3 assertion:2 abelian:23 his:3 notation:7 ϕt:2 ϕp:7 ϕl:5 ϕd:1 arxiv:1 common:6 set:39 see:52 sem:1 df2:1 uη:27 uα:13 gillet:1 conditions:26 complement:4 attention:2 distinguish:1 both:6 last:3 bicomplex:1 point:105 simple:1 corresponds:1 coincidence:2 dimensional:8 pq:2 described:3 ue1:3 pk:1 z3:18 pn:6 empty:9 surjective:5 chevalley:1 p2:1 presheaf:7 p1:2 albanese:1 while:4 replaced:14 loop:4 triple:12 ready:1 whitehead:1 belong:3 composition:22 higher:16 used:3 assignment:4 sym:1 subvariety:55 moving:1 dimx:5 knm:2 ωnx:5 ωnr:4 coboundary:2 flags:23 ωnk:1 ωnf:1 knu:3 λc:10 λk:1 alternative:1 theorem:59 euler:6 hj0:2 isomorphisms:2 integer:3 like:1 modifications:1 follows:36 yields:8 essential:1 terminology:1 mathematical:1 methods:4 mathematicae:1 some:29 examples:9 b2:5 yl1:3 continuing:1 bi:1 bk:5 bu:1 step:17 weil:13 bp:2 trobaugh:1 hilbert:1 integers:1 idz:1 extending:1 k0x:1 range:1 extensions:1 consequently:5 bloch:6 into:1 isomorphic:2 δlp:12 institut:1 fzp:1 question:4 u0:5 long:2 sections:3 ωpx:1 properly:5 link:2 line:4 δl1:2 consist:1 characteristic:7 up:17 us:17 ui:7 ue:3 uf:1 similar:1 called:13 constant:11 defined:36 char:1 defines:7 groupes:1 application:10 arithmetic:2 li1:3 explaining:1 elements:16 visits:1 sides:1 structure:12 kx:12 implies:8 notion:3 equivalently:1 depth:12 implied:2 gw:4 gv:2 gu:3 partial:2 illustrates:1 results:4 gy:1 gx:2 proposition:106 gm:2 gl:3 eη:2 gi:3 equivalences:3 supercommutative:1 g0:6 kcn:17 categories:6 notes:4 zl:85 smaller:5 zi:26 zj:3 uej:1 zd:3 ze:7 zf:4 modified:2 imply:5 zx:3 concludes:3 zw:2 zp:26 zq:12 zr:19 zs:8 index:10 plays:1 analogously:2 expressed:1 henceforth:1 poles:1 1i2:2 codimension:63 degree:23 deduces:1 respectively:28 desired:1 objects:3 sing:9 z0:15 z1:50 z2:63 morphisms:18 remark:54 stalks:2 technical:2 involved:1 products:12 makes:1 decrease:1 apply:2 resolutions:7 use:18 feb:1 remains:2 next:9 f01:2 reciprocity:5 themselves:1 carrying:1 iii:14 isomorphism:7 publications:1 meet:1 proof:108 lφ:1 wedge:1 weaker:1 reconstructed:1 assumptions:9 holds:8 reducible:1 instead:3 subsheaves:1 singular:1 chow:9 collection:39 inst:1 multiplication:5 ot:13 famous:1 computations:1 lines:2 correspond:3 element:34 jussieu:1 symbols:2 looks:1 homotoped:1 during:4 grayson:2 massey:12 ld:2 chosen:1 li:3 lt:1 degrees:1 choose:13 lz:2 ηm:10 ly:1 serre:3 jη:18 inductively:3 mention:2 kpx:7 sufficiently:1 ηs:2 subset:91 ergebnisse:1 related:1 catenary:5 our:6 special:1 out:1 category:23 lecture:4 induction:40 red:7 threedimensional:1 ogus:2 monographs:1 compositions:4 geometry:2 could:2 length:6 hence:21 manuscript:1 precisely:2 folge:1 adjoint:1 πi:13 πn:2 system:34 πl:5 πm:1 their:5 intermediate:1 commutativity:1 completed:1 zη:5 zα:4 cochain:1 subsequence:1 result:19 hz:1 cohen:12 curves:2 angew:1 wh1:2 wh2:2 need:3 clearly:2 fxx:7 studying:1 instance:2 fxc:4 gη:6 unless:2 gξ:4 birational:1 connected:1 class:17 consequences:1 bred:1 stronger:1 etale:1 fact:16 text:2 supported:2 rough:1 trivial:4 valuation:3 should:4 lemma:47 he:2 local:17 means:11 hartshorne:1 joins:1 compute:3 subscheme:8 differential:22 nauk:3 contain:20 fixed:9 dpj:1 dpi:1 view:1 modulo:2 exists:69 differentials:4 hη:3 module:8 mentioned:1 terms:4 waldhausen:3 still:1 intersecting:1 written:2 closed:92 progress:1 boundary:11 deninger:1 ken:2 hypothesis:13 key:1 ker:8 sξ:2 restrictions:6 limits:1 taking:4 equal:27 passing:1 simplicial:6 otherwise:10 cj:8 ci:8 ch:13 cn:20 triples:4 cl:4 sη:3 cohomology:36 cf:2 cd:1 sequences:7 respect:18 cp:6 cw:2 torsion:1 addition:12 ys1:1 define:19 arises:1 corresponding:23 valuations:3 commutes:10 subspace:3 essentially:1 hamburg:1 c2:9 c1:11 c0:1 subsets:37 ap:6 value:2 will:5 almost:8 vi:2 vk:3 thus:28 surface:3 noetherian:28 rfbr:1 generic:15 parts:3 schematic:22 units:1 finite:45 φl:3 cocycles:18 con1:1 infinite:23 identity:4 center:3 nevertheless:5 well:14 sets:1 arising:2 subgroup:8 less:1 obtain:2 dηi:2 glue:2 preprint:1 z01:1 add:1 propositions:3 ample:1 fye:14 vα:4 resolves:7 immediately:3 intersection:35 loss:1 necessary:9 helpful:1 δl:5 because:2 classical:3 sequence:20 algebraically:2 kdx:1 choosing:3 proper:10 proofs:1 does:33 summand:4 intersections:4 journal:1 σip:2 cη:2 injective:7 quotients:1 about:3 extension:1 column:2 freedom:20 introduced:3 own:2 h1:2 stratification:1 square:1 additional:1 pairing:13 rcn:2 appl:1 naturally:2 function:2 hx:1 bup:1 sequel:3 but:4 construction:20 hn:11 hf:3 partially:1 pi:1 wise:5 smooth:39 below:1 limit:13 yr1:29 distribution:2 intersects:4 universal:1 denote:19 functions:7 variety:51 dlog:6 other:13 details:2 phism:2 repeat:4 star:1 bundle:2 factors:1
|
0705.2598.txt |@word comparatively:2 four:1 heliocentric:1 consists:1 aliases:1 al10:1 whose:1 presents:3 under:3 digit:6 vast:1 school:2 investigator:1 supports:1 red:4 bodenheimer:1 indices:3 degeneracy:1 aeronautics:1 faintest:1 warns:1 estimates:2 photospheric:1 street:15 enoch:4 implemented:1 creevey:1 selected:10 contributed:1 above:3 new:2 cull:1 relationships:1 residual:1 here:2 met:1 fairly:5 diagnostic:2 obtained:2 study:1 9m:1 secure:1 campaign:1 highly:1 visible:10 total:4 unit:1 would:3 tabulated:1 therefore:6 spike:1 type:20 madjar:4 fractions:1 populations:1 excellent:1 pogge:1 must:8 md:1 springer:1 mm:1 work:4 eclipse:3 mj:3 petersen:1 sinusoidal:1 indicated:1 give:1 strader:1 indicates:3 caution:4 magnitudes:1 recovery:3 provide:2 chabrier:2 how:1 hot:5 correos:1 crowding:2 after:8 diagram:1 wrong:3 law:1 parallel:1 types:5 las:1 effective:2 schneider:1 cumbres:1 alias:6 sackett:4 order:4 fife:1 over:3 murray:1 executes:1 mayor:2 before:1 fit:2 exhibits:2 better:1 them:2 affected:2 band:3 effects:1 they:7 hertfordshire:1 vidal:4 brightness:2 classified:1 reasonable:5 each:13 calibrations:1 mean:1 afforded:1 telescope:5 evolve:1 series:3 weinberg:1 24r:1 rp:15 quantify:1 cameras:1 crucial:1 dss:1 re:1 encourage:2 ra:11 rc:2 rj:7 foundation:1 arizona:1 ntr:2 surveys:7 ecliptic:1 streamline:1 estimate:8 telescopes:2 publication:1 days:29 filter:2 signature:3 corrections:1 grade:1 wasp:2 coding:2 primary:1 another:2 mignard:1 genova:1 illustrate:1 lister:7 rejects:1 top:1 approximately:1 needed:1 rates:1 observations:22 percentage:1 urban:1 alonso:1 tool:1 serve:1 took:1 rejected:1 somewhat:1 ochsenbein:1 target:14 showed:5 likely:5 project:3 classes:2 pasp:2 spectrum:1 ras:1 seen:5 relatively:4 estimated:10 genuine:1 corbin:1 latter:2 1swasp:79 isolated:1 thorough:2 fitting:1 though:9 object:43 exercised:1 extending:1 quantitative:1 phase:8 assessed:3 contain:1 7al:1 observation:2 gaudi:1 calculated:1 arenou:1 points:7 parenthesis:2 planetary:20 signatures:1 queen:2 infrared:2 implying:5 radii:1 solutions:1 earth:1 lessons:1 spite:1 explain:1 folded:32 hrs:8 judged:1 population:1 do:1 de:7 despite:6 runs:1 fields:10 twice:2 automatic:2 flagged:3 observer:1 sensitivity:1 detection:2 depends:3 decided:1 radius:43 extraordinarily:1 discussions:1 best:3 techniques:1 said:1 away:1 catalogue:5 approach:1 discovery:2 multicolour:1 nature:5 however:12 otherwise:7 contamination:1 belfast:3 downgraded:1 suggested:1 received:3 cox:2 uncertainty:7 against:4 adapted:1 appeared:2 2nd:1 blending:18 polynomial:2 grazing:1 conference:3 basis:2 three:6 been:6 extraction:1 spread:1 detrimental:1 interest:6 expected:10 huchra:1 faintness:3 deeper:1 wycoff:1 dismiss:2 vulcan:2 brightening:1 applied:5 aip:1 exoplanet:9 dept:2 kepler:1 aid:1 pietrzynski:1 procedure:6 exceptionally:1 ir:2 hatfield:1 confirmed:6 photospheres:1 perform:1 suggest:2 make:1 potentially:1 turon:1 several:5 independent:3 peaks:3 everett:1 positives:4 opportunity:1 ellipsoidal:9 shortly:1 whereby:1 centres:1 alarms:3 ky16:1 agol:2 stringent:1 just:2 newton:3 grades:1 identify:2 human:2 yet:2 monitored:4 candidate:30 had:4 5m:1 5n:1 gave:1 advances:1 possible:6 spanned:1 background:1 judge:3 occurring:1 atmospheres:1 cooler:1 manual:1 ballester:2 www:2 right:1 plausible:1 j2000:1 jupiter:3 statistic:3 contaminating:2 9r:1 companions:6 daytime:1 bold:1 post:1 stokes:1 census:2 months:1 o:4 distinct:1 islands:2 slightly:5 automatically:1 queloz:1 soc:1 facility:1 obtaining:2 down:3 lies:6 raises:2 unambiguous:1 support:1 initial:3 interlopers:1 width:4 way:1 resulted:2 was:38 m0:2 medium:1 form:4 understandably:1 attempted:1 recommend:6 conclusively:2 aperture:7 solar:13 removed:2 true:7 extremity:2 assessment:6 stages:3 nnn:3 strengthening:1 classic:1 abstract:1 proven:1 believable:6 distributions:1 archive:1 physical:3 nl:2 nm:1 nn:4 polarisation:1 generally:2 nf:2 reality:1 setting:1 depoy:1 test:2 jenkins:1 nt:2 permitting:1 models:1 asterisk:2 fell:1 palma:5 variable:2 jones:1 longer:7 ehrenreich:1 together:1 uncovered:1 time:4 serious:1 leads:3 morphology:4 remarkably:1 displaying:1 transiting:14 certainly:2 caldwell:1 leicester:4 summarised:3 brown:13 schwarzenberg:4 little:3 level:3 hawaii:1 udalski:3 dip:17 l96:1 mn:1 illustrating:1 prediction:1 sign:1 uk:7 spectrograph:2 targets:5 spectral:13 appear:1 current:1 falling:1 commensurate:1 boost:2 dwarf:4 understanding:1 water:1 esert:2 groups:1 alone:3 laughlin:2 along:1 appears:3 box:2 instituto:2 zebrun:1 noticeable:1 institute:4 wherever:2 commonly:1 plotted:3 extra:10 marked:8 flagging:1 cutri:1 liebert:1 positive:1 predictions:1 france:1 f9:4 micron:1 theoretical:1 bonnarel:1 acceptable:3 apparent:1 validity:1 visual:13 clumpy:1 cases:9 emphasising:1 values:3 l125:1 keynes:1 following:3 making:2 nearest:1 dedicated:1 figure:13 sample:5 usno:3 council:1 spanning:2 requirements:2 periodograms:1 discussion:7 exceptional:1 froeschl:1 criterion:2 dominance:1 may:4 quantified:2 spot:1 exosphere:1 produce:1 designed:2 mag:33 date:3 data:51 man:1 sw:13 st:3 so:11 noyes:2 thresholds:2 displayed:1 canary:2 years:1 course:1 motions:1 clumping:2 still:4 group:5 interesting:3 presence:3 coordinates:1 window:1 dwarfs:1 ours:1 main:3 thereby:1 introduce:1 discuss:3 execute:1 realistic:1 photometry:16 em:1 domain:1 significantly:3 ed:1 kane:4 astrophysical:5 sifted:1 eu:1 wavelength:3 1nn:1 avoided:2 adequately:1 canada:1 shown:3 space:3 furthermore:1 looking:1 contained:1 investigation:3 squares:2 correct:2 shows:13 inevitably:2 earlier:1 theory:1 million:3 possibility:5 quite:4 california:2 org:1 advance:1 motion:1 turn:2 place:1 first:3 surviving:3 rms:2 variables:1 parkinson:1 stsci:1 skrutskie:2 spanish:1 open:2 millions:1 given:4 1w:1 iac:1 indicate:7 returns:1 typing:1 white:1 0ha:1 gives:5 exploring:1 season:6 kirkpatrick:1 eliminates:1 astrophysics:4 eliminated:3 representing:1 than:28 milton:1 wide:7 third:2 edition:1 l49:1 future:1 were:42 mated:1 san:1 say:1 flatness:1 allen:1 any:6 confirmation:1 odewahn:1 consortium:3 note:2 ferlet:2 potential:2 online:2 wanting:1 multiple:4 price:1 incidence:1 falls:1 printed:2 successive:1 latex:2 considered:1 implications:1 drive:2 typeset:1 precise:1 show:2 arcmins:1 osborne:1 discovered:3 bright:6 threshold:6 interpretation:1 ground:2 aint:4 ratio:3 only:13 going:1 haugh:1 moons:1 wyrzykowski:1 cannot:4 baraffe:1 conjunction:2 blends:1 secondary:3 tenerife:1 predicted:15 fainter:11 reveals:3 deconvolution:1 relative:1 elected:1 reevaluation:1 keele:2 planet:14 detect:7 subsequent:2 review:1 representatives:1 colours:4 outside:1 between:11 across:1 august:1 parent:1 jovian:5 hawai:2 millimag:1 concentrated:2 cortona:1 many:4 according:1 nearby:15 among:3 filtering:1 period:58 anti:1 ebrard:3 considering:1 fabricius:1 west:5 workshop:1 followup:1 enable:1 thousand:1 formed:1 observe:1 suspected:1 careful:2 former:1 those:6 case:9 profiles:1 promising:2 muchachos:1 characteristics:2 zucker:1 discrepancy:1 staffordshire:1 cluster:1 bias:1 datapoints:3 unblended:1 technology:2 binary:12 l53:1 author:1 apartado:1 same:3 html:1 constructed:1 sred:6 companion:44 running:1 investigates:1 arose:1 no:19 roughly:1 without:1 components:1 very:12 ccd:1 model:1 binaries:9 bodies:1 ccb:1 monet:1 being:2 when:7 unclear:5 multiples:2 sampled:6 doctoral:1 esprit:2 except:1 instrument:3 grating:1 extensive:1 mmag:5 around:9 rules:1 early:4 shallower:1 mon:1 confined:1 using:7 accepted:1 fitzsimmons:4 soszynski:1 ruled:2 particle:1 identifying:1 aigrain:1 either:1 always:1 output:1 reduced:2 cr:1 images:1 provided:1 confirm:3 moon:1 provides:3 wheatley:1 references:1 exciting:4 uncrowded:3 schrijver:1 package:1 discussed:3 7rh:1 practical:1 wolf:1 act:1 road:1 skillen:3 cambridge:4 instruments:2 accounts:1 determine:4 ηp:42 theoretically:1 stare:2 høg:2 assumed:1 there:9 los:1 detectable:3 low:29 stars:42 slopes:1 minimise:2 guillot:1 survived:1 mnras:9 unreliable:2 applying:1 hellier:4 systematics:2 lightcurves:16 detailed:3 gone:1 certain:1 describe:2 deep:2 file:2 grenon:1 deeg:1 assessing:1 deserve:1 field:23 unfiltered:1 separate:2 durations:1 carpenter:1 includes:1 deriving:1 cb3:1 peak:9 a7:1 included:3 curve:1 mimic:2 1mj:1 mass:11 vestnik:1 resolution:5 original:4 caused:1 angstroms:1 looper:1 cameron:12 follow:15 transits:23 causes:1 hunting:4 fellowship:1 program:2 spain:1 2mass:9 far:5 difference:3 evaluation:1 list:13 large:9 donovan:2 small:3 webster:1 periodicity:1 tef:5 tex:1 rate:2 timescales:1 displays:4 pass:2 further:8 superwasp:18 section:8 brief:2 learned:1 method:1 contrast:1 leeuwen:1 full:4 christian:8 compilation:1 andrews:3 strong:12 observing:6 search:7 allows:1 experience:2 amount:1 periodic:1 disposal:1 pathological:1 brightest:6 cup:1 followed:1 transit:85 establish:1 detecting:1 select:1 probabilities:1 faint:5 humphreys:1 finally:2 comparing:1 taken:2 achieving:1 minor:1 more:8 flat:21 lightcurve:54 flag:1 particular:4 known:2 producing:1 science:5 der:1 des:2 bottomed:4 dec:1 f0:1 f1:1 f2:2 f3:1 f4:1 f5:5 f6:2 f7:8 f8:5 pont:5 conspire:1 minimum:2 numbers:7 exclude:1 robinson:1 g2:3 narrowly:1 information:13 rather:2 breaking:1 larsen:1 reject:1 acta:1 galactic:4 jarrett:1 derived:8 orbits:1 plane:5 fl:1 shortcomings:1 short:7 chiefly:1 crowded:3 spectra:4 september:2 developed:3 held:1 paper:4 through:1 signs:8 telluric:1 existence:2 suffer:2 its:7 style:1 rapidly:1 l69:1 actually:1 late:8 detected:4 systems:9 isaac:3 might:2 good:1 hunter:1 hereafter:1 fully:1 presented:3 2z:1 2b:1 radial:1 found:9 referred:1 needless:1 catalogues:1 hard:1 event:2 try:1 missed:1 since:5 projected:1 research:5 dominated:1 issue:1 asp:1 szewczyk:1 reason:3 imaging:2 backed:1 retained:3 inspection:15 consequence:1 hodgkin:1 major:1 fischer:1 probability:3 number:19 l97:1 temperature:4 introduction:1 twenty:1 least:5 st5:1 station:2 passed:1 scheme:2 too:2 relationship:2 wenger:2 part:1 albeit:1 observatory:2 kubiak:1 double:2 anticipate:1 determined:1 aldering:1 confirms:1 orders:1 lie:1 wilson:5 nights:8 bouchy:1 depending:1 lin:3 k3:5 extracted:1 k1:2 k0:1 k7:2 pparc:1 k5:7 k4:4 finding:2 elias:1 echelle:2 towards:1 lindegren:1 most:3 significant:4 measured:11 charbonneau:9 clear:25 sometimes:1 cover:1 funded:2 clean:1 velocity:2 blend:2 particularly:3 blended:8 relation:1 carefully:1 find:2 indicator:2 parameters:8 szymanski:1 less:7 surveyed:2 factor:2 giants:1 dominant:1 listed:6 during:7 arxiv:1 investigate:1 common:1 activity:1 seventeen:1 set:5 achieves:1 see:8 migration:1 close:18 probable:1 currently:1 capps:1 donati:3 conditions:2 cfht:4 available:4 initially:1 complement:1 attention:1 acknowledgements:1 spectroscopic:6 fgk:1 bastian:2 relying:1 allard:1 both:4 barely:1 sensitive:1 whole:1 baltimore:1 l27:1 cuts:1 sky:2 corresponds:1 monier:1 unfolded:10 observatories:1 throughout:1 consuming:1 described:1 raise:2 swn:1 due:3 strategy:2 reduction:4 describes:1 ph:1 po:1 dunham:2 precision:3 representative:1 systematic:3 ez:1 coventry:1 reliable:1 evaluated:1 while:11 evaluating:2 eclipses:6 guide:2 steffen:2 owing:3 baseline:2 lengths:1 elevated:1 shorter:3 emphasize:1 products:1 higher:4 used:5 comprehensive:1 uses:1 koch:1 lower:1 analysis:4 obviously:1 edge:1 flags:1 chemistry:1 4th:1 shape:3 intervals:1 alternative:2 tables:2 cut:5 majority:1 recommended:2 signals:1 deliberately:1 remaining:2 march:1 demands:1 showing:2 highprecision:1 integer:4 shaped:10 systematically:1 signal:23 continue:1 summarise:1 often:1 some:13 separated:1 strongest:3 b1:3 sight:2 scale:1 describing:1 measurements:2 exceeding:1 per:1 eliminate:5 simbad:1 inclination:1 run:1 processing:1 confidence:1 santa:2 pipeline:3 cautious:1 range:17 credible:11 computational:1 into:3 within:22 mandushev:2 kovalevsky:1 retaining:1 appropriate:1 proportional:1 tingley:4 statistics:1 sequence:3 long:7 custom:1 sections:1 borucki:2 dips:7 criteria:5 line:3 raising:1 rejection:1 burrows:4 up:59 us:6 mk7:1 spectroscopy:2 similar:5 lunine:1 associated:1 defined:2 duration:20 single:5 warning:2 codes:1 gainesville:1 grouped:1 coded:1 nat:2 department:3 lonsdale:1 chester:1 ryans:1 smoothly:3 prepared:1 meaning:1 allowing:1 independently:2 suffers:2 implies:5 exoplanets:6 algorithm:11 physics:8 required:7 orbit:1 depth:6 demonstrates:1 requires:1 once:1 code:5 partial:1 results:5 existing:1 edu:1 hauschildt:1 ipatov:2 protostars:1 include:1 indicating:1 g7:4 g5:2 g4:1 g3:7 2rj:1 g1:1 g0:7 g9:3 g8:1 electron:1 continued:2 bryant:1 severely:1 stiening:1 fewer:1 deals:1 maxted:1 barbara:1 noted:2 concluded:1 smaller:1 smalley:1 le1:1 imply:1 universities:1 index:5 giving:2 exacerbate:1 henceforth:1 crossed:1 canarias:2 led:1 degree:10 extrasolar:1 respectively:2 giant:2 explore:1 objects:37 separation:1 others:10 consideration:1 great:1 northern:1 larger:3 suggests:2 survey:7 makes:10 madingley:1 photometric:13 apj:10 egress:2 frame:1 use:2 usa:4 remains:2 next:2 few:2 doubt:1 examination:1 9ss:1 stage:19 becomes:1 visibility:2 sharply:1 hints:1 account:2 accurately:1 obvious:3 ammons:2 drops:1 scatter:2 process:3 high:10 sought:1 egret:1 regions:1 located:1 instead:1 pollacco:7 clarkson:7 light:5 lines:2 gilliland:2 encyclopedia:1 lined:2 counted:1 9ab:1 horne:2 evolutionary:1 produces:3 produced:3 including:3 contaminated:3 le:1 la:5 estimating:1 covered:1 greater:4 practice:1 subtraction:1 das:1 day:8 worlds:1 february:1 university:20 identified:7 poole:1 magnitude:5 makarov:1 mode:1 rising:2 identifier:5 sudarsky:1 frequency:6 our:29 marley:1 out:14 category:1 borderline:6 asymmetries:1 performs:1 cause:1 burke:2 torres:1 marel:1 ısica:2 likelihood:1 shortest:1 dubbed:1 could:9 florida:1 times:1 length:2 explored:1 hence:3 evans:5 occurrences:1 quality:1 reference:1 system:4 priority:5 their:9 norton:2 final:3 explanation:1 shallow:9 lists:1 observed:12 isolation:1 keenan:2 submitted:2 inversely:1 amplitude:15 providing:1 result:1 exhibit:1 false:8 irwin:2 5bg:1 fourteenth:1 need:1 apparently:2 clearly:7 lecavelier:2 instrumentation:1 angle:1 mid:4 instance:2 subject:4 dimming:1 unless:1 centre:2 who:1 mimics:1 but:41 preliminary:2 intrinsic:4 class:2 astro:1 gather:1 face:1 proceedings:2 constrain:1 normally:1 fact:1 selection:12 supported:13 saumon:1 rough:1 based:4 should:2 brighter:6 candidates:52 libre:1 employed:3 partially:1 achieve:1 meant:1 handle:1 means:5 overall:1 joint:1 words:1 gray:2 lalo:1 600s:1 luminosity:2 deconvolved:1 queries:1 borde:1 view:2 computed:1 acquired:1 smooth:1 configured:1 ogle:2 roque:1 merits:1 operated:2 terms:1 closer:2 etangs:2 exploited:2 written:1 hipparcos:1 correctly:1 boundary:1 variability:5 bt7:1 ability:1 mags:3 hypothesis:3 key:1 exoplanetary:1 limits:1 taking:3 equal:1 eta:1 figures:1 dobs:3 periodogram:9 grounds:1 relevant:1 ca:2 maximize:1 table:12 bernacca:1 second:2 haswell:5 cv4:1 cent:1 warwick:1 define:1 aj:2 corresponding:3 sufficient:3 tycho:3 astron:2 present:2 astrof:2 multi:1 appearance:2 value:7 will:12 ultra:2 fielding:1 planets:11 almost:2 site:2 vs:1 vt:3 orbital:7 hubbard:1 administration:1 espadons:4 highlighted:2 finite:1 infer:1 difficult:6 http:1 effect:2 v2:1 off:1 center:2 nevertheless:4 colour:12 well:7 credibility:1 knotty:1 usual:1 jupiters:1 routinely:1 heavily:1 increasingly:1 accurate:1 obtain:4 stored:1 density:2 smith:2 mcconnell:1 hall:1 reasons:1 match:1 increased:2 masquerade:1 esquerdo:1 cruz:1 five:2 press:1 immediately:1 spectropolarimetric:1 necessary:2 like:11 lost:1 sized:2 martin:1 because:6 vsw:6 phenomena:1 searching:2 tempered:2 proper:2 vsi:2 broad:1 avoid:1 lean:1 does:5 discretion:1 assuming:1 demonstrated:3 latham:2 noise:14 slight:1 pp:2 stellar:18 host:14 although:11 approximating:1 noisy:11 about:1 carried:1 column:1 6aa:1 introduced:1 massachusetts:1 individually:1 own:1 coverage:1 dubois:1 dataset:5 assess:1 perryman:2 weather:1 national:2 seitzer:1 van:2 additional:2 artifacts:1 czerny:4 much:4 log10:1 function:4 north:2 hr:18 funds:1 overlapping:1 subjective:1 repeated:1 goals:1 automated:2 he:1 made:7 evident:2 variations:2 placed:1 below:1 gaps:7 limit:1 distribution:3 display:2 bandpass:1 mask:1 contribute:1 periods:8 goodness:1 collier:10 trailing:1 functions:1 compared:1 calibration:1 detail:2 other:21 details:1 star:45 beichman:1 inescapable:1 variation:12 astronomy:8 exposure:1 searches:2 factors:1 searched:1 richardson:1 eclipsing:3
|
0705.2599.txt |@word partial:1 rev:9 leads:2 grateful:1 c2:2 consists:1 expressions:2 gj:3 looking:1 finally:6 those:1 th:1 under:4 include:2 tb:8 ta:9 g3:6 g2:6 g1:6 far:1 frequencies:8 springer:1 wave:8 exact:1 list:1 solution:3 try:1 solved:1 vector:1 optics:1 degeneracy:1 force:1 zi:1 concise:1 dutra:8 direct:1 literature:1 castro:2 concludes:1 further:4 salam:2 auspices:1 spectral:1 what:1 errors:1 appear:3 ψn:2 sum:1 associate:1 steiner:1 above:10 new:5 3a:2 acknowledgments:1 body:10 respectively:2 αia:4 here:4 understanding:1 identifications:1 than:1 others:2 represented:2 path:9 equations:2 change:2 knowledge:1 obtained:2 remark:1 involved:2 vectors:1 drj:2 resulting:2 usually:1 decouple:2 suitable:1 y12:1 hermite:1 prefer:1 summation:1 total:2 propagators:5 feg:1 use:5 working:1 sake:3 continuous:1 visit:1 yj2:3 m1:50 m3:10 m2:51 taken:1 type:1 until:1 grosche:1 more:8 becomes:2 getting:1 berlin:1 particular:3 known:1 cases:3 hold:1 must:4 keeping:1 quantized:1 equation:2 work:6 oscillator:3 mj:3 crossed:3 following:10 route:2 decoupled:7 numbers:2 f1:11 f2:13 calculation:1 expanding:1 junker:1 dxj:2 degenerate:1 tan:2 attract:1 µj:1 hibbs:1 guarantee:1 goal:1 η2a:6 s2:1 s1:1 θ2a:1 eigenenergies:2 write:4 trieste:1 sia:1 acta:1 parameter:1 sin:26 map:1 product:1 may:1 oscillators:5 after:4 consequence:2 ω2j:2 fj:8 constants:4 remember:1 third:1 πi:1 sp:1 sj:1 si:5 so:4 allow:1 order:8 restriction:1 dyj:1 ith:1 over:5 years:1 through:9 looks:1 erot:1 y3:9 still:2 its:1 energies:1 2λm:1 masses:6 solving:3 lj:2 coordinates:6 permanent:1 lewis:1 choose:1 jacobi:2 mail:1 hidden:1 eur:1 yi:5 them:2 yj:10 serra:1 combination:1 they:1 souza:7 rotation:3 now:9 represents:1 february:1 2a:3 entirely:1 2h:11 characterized:2 constraints:1 financial:1 ed:1 energy:2 mm1:1 frequency:1 measure:3 quantum:5 our:3 beyond:1 extract:1 η1a:6 really:2 shown:1 pedrosa:1 driving:1 discrete:2 furthermore:4 since:1 lagrangian:11 denotes:1 particles:5 attracted:1 investigation:1 hill:2 rational:1 formula:3 evaluation:1 math:1 linear:2 interactions:7 free:6 reason:1 threedimensional:2 term:2 besides:2 put:1 degeneracies:1 interaction:1 brasil:1 r2:19 r3:17 m212:1 just:2 impose:2 m21:2 m22:2 keep:2 length:1 isotropic:2 routes:1 δia:4 first:4 xj:1 xi:1 variables:5 number:1 restrict:3 multiplying:2 done:6 another:1 reached:1 precisely:1 interchange:1 given:8 πa:1 yia:10 interesting:1 covariant:1 introduction:1 leading:1 f1a:1 dfq:1 system:14 relations:1 1a:3 calculations:2 dt2:1 scheme:1 cite:1 recovered:1 ictp:3 exactly:4 mehler:2 part:3 scarce:1 somewhat:1 particularizing:1 x2:13 x3:12 translation:2 x1:11 institution:1 achieves:1 kind:1 double:1 final:8 matter:2 classes:1 intensities:1 were:1 symmetries:1 ann:1 mind:1 spectrum:1 generalization:1 compactification:1 say:1 need:2 recover:2 any:1 farina:1 forced:2 angle:2 k32:7 convenient:1 able:1 note:3 instance:3 k1:1 potential:4 take:1 forces:3 jacobian:2 even:1 cunha:1 reach:1 most:2 involving:1 class:3 interacting:1 kb:1 consequences:1 considered:3 kj:1 calculated:1 sometimes:1 feynman:5 exp:17 dηj:1 dos:1 usual:1 physics:1 section:1 fact:5 particularly:1 text:1 cnpq:1 relation:2 solutions:3 substituting:1 d2:1 costiera:1 dilation:1 impact:1 feng:1 proposed:1 parameters:6 hott:1 should:5 only:5 going:6 transcendental:1 landim:1 do:2 cheng:3 get:3 dependent:9 de:10 da:1 ones:3 words:1 dy:3 during:1 dt:19 dr:1 areas:1 prime:2 x21:1 arxiv:1 imposed:1 europhys:1 mapped:1 including:2 fixed:1 view:1 set:4 could:4 imposing:1 observed:2 y1:11 see:1 sec:1 y2:11 eigenfunctions:1 review:1 written:1 µi:1 between:3 αi:2 invariant:1 conditions:1 x22:1 2πiτ:2 ends:1 terms:5 extend:1 attention:1 however:2 york:2 n1a:6 ji:1 key:1 both:3 collaborators:1 last:2 many:2 taking:1 density:2 x2a:8 θia:1 x1a:8 expression:4 fix:1 among:1 ci:1 very:1 conclude:3 simple:2 lagrangians:2 harmonic:5 dimensional:7 instants:1 m12:22 simply:2 applicability:1 polynomial:1 vleck:1 rep:1 inomata:1 duj:1 described:1 transformations:8 decoupling:2 due:3 been:2 ai:1 fia:2 treat:3 interest:2 ph:1 exactness:1 systems:5 θj:1 θi:2 corresponding:4 restrictions:2 sufficient:1 iµ:4 cos:13 observe:1 instant:1 present:1 case:14 pacs:1 appearance:1 evaluated:1 remaining:1 will:5 timedependent:2 situation:2 couplings:10 remembering:1 opt:1 vol:1 n2a:13 non:1 im:2 ia:6 worry:1 santos:1 italy:1 author:1 perform:5 make:1 s2i:1 same:4 quant:1 arguments:1 pauli:1 solvability:1 erdelyi:1 higher:1 independent:2 used:3 cubic:1 dgj:1 hand:3 driven:2 kim:2 k31:7 kia:2 expand:1 recent:1 task:2 center:1 k21:4 well:1 analysis:1 without:1 solve:2 coordinate:5 model:1 chemistry:1 dimension:1 left:2 unsolvable:1 unesp:2 being:3 obtain:2 integer:1 λm:2 cn:1 k3:3 k2:1 f2a:1 point:2 appeared:1 transformed:2 lett:5 solvable:3 transformation:10 identical:2 around:1 easily:2 khandekar:1 possible:2 know:1 using:8 necessary:2 like:5 particle:5 performing:1 abdalla:1 integrals:3 arbitrary:6 mcgraw:2 pereira:1 ηia:3 because:2 deal:1 some:6 back:1 added:1 b2:2 moreover:1 ourselves:1 happens:2 dimensions:1 lead:1 cavity:1 electromagnetic:1 avoid:1 fluids:1 decomposition:1 eliminate:1 y22:1 straightforward:2 strada:1 obey:1 power:1 disentangle:1 δi:1 bi:1 step:1 br:1 substitution:1 about:1 works:1 would:3 constraint:2 dzj:1 discussed:1 dependency:1 r1:19 obeys:1 guedes:3 introduced:1 into:4 integral:6 ηj:2 ηi:4 three:21 rendering:1 references:1 pathintegral:1 proportional:1 van:1 additional:2 support:1 initial:2 long:1 quadratic:6 handbook:1 physicists:2 way:2 examination:1 was:3 propagator:11 function:4 conciseness:1 abdus:2 form:3 something:1 reduce:1 but:4 hn:2 elimination:2 line:1 auxiliary:1 again:2 compute:1 2πh:1 up:1 us:5 ωi:7 below:2 ωj:11 ui:1 problem:9 define:1 advantage:1 called:1 mechanics:1 ab:2 constant:6 defined:3 certain:1 abstract:1 am:1 general:9 dξ:5 dλ:1 av:1 formalism:3 campus:1 physical:2 ni:1 functions:9 lo:1 when:2 field:1 other:6 role:1 spatial:1 govaerts:1 briefly:1 intend:1 problems:3 a1:8 holstein:1 a2:9 fabry:1 included:1 ago:1 implies:1 coupling:3 uncoupled:1 hni:1 θ1a:1 interval:2 mass:4 presenting:1 4h:2 time:15 n1:2 n2:2 original:3 once:4
|
0705.2600.txt |@word sci:1 consider:3 pointing:1 magnetic:7 results:1 leads:1 primes:1 viceversa:1 depend:1 monotonically:3 marks:1 kλ:1 maryland:1 case:4 supported:1 very:2 wave:12 nikitenko:1 ǫlmn:2 figs:1 overcomes:1 experimentally:1 difference:1 exact:3 condition:1 entire:1 altering:1 eigenmodes:1 t2:1 solution:6 occurs:3 large:3 solved:1 vector:7 small:3 der:1 upper:1 smaller:1 force:1 oscillation:4 trend:1 consistent:1 sin2:1 cosh:5 approximation:1 zero:7 cost:3 further:5 goes:1 section:5 near:2 uniform:6 current:1 experiment:1 above:3 new:2 lee:2 exchange:5 respectively:1 here:2 ranges:1 governing:1 separation:2 directions:1 along:9 strong:1 equations:9 antisymmetric:3 studied:1 allows:2 gilles:1 periodic:2 published:1 domains:5 fourier:1 studies:3 appropriately:1 via:1 stray:3 isgn:1 casoli:1 modulated:1 decrease:2 sgn:1 should:1 unit:1 derivatives:1 would:3 distinct:1 positive:1 thinnest:2 films:12 theoretical:1 more:1 separated:2 sharing:1 becomes:3 everywhere:1 abanov:1 sharply:1 particular:2 known:2 iii:2 must:2 states:4 crosses:1 d3:3 equation:5 work:3 reviews:1 remain:1 values:4 thin:12 following:1 making:1 spontaneous:1 thicknesses:6 modulation:3 indicated:1 predict:2 thermally:1 arise:1 sample:1 minimum:1 allowed:1 nonnegative:1 νi:7 occur:3 νk:11 axis:8 rather:2 clarke:3 six:1 write:1 nontrivial:1 parameter:1 20nm:1 profile:5 simplicity:1 mat:2 may:8 palmeri:1 wiley:1 derived:2 constraint:2 diagram:1 applications:1 plane:17 fk:2 data:1 grow:1 types:1 schulte:1 natural:1 effective:3 lines:1 st:1 sons:1 so:3 allow:1 chien:3 markovic:2 order:4 developed:1 over:3 eqs:1 vary:3 satisfied:1 ferromagnets:1 combinations:1 experiments:2 its:6 diagonalized:1 regions:1 decay:4 decreases:2 actually:1 fig:5 combination:1 numerically:1 couples:2 effects:2 they:1 rotation:1 eigenvalue:5 fully:2 university:1 edip:3 sin:3 2a:1 each:1 instability:4 anisotropy:15 oscillatory:1 domain:5 differential:1 tilted:1 ek:2 doing:1 there:1 energy:25 reduce:2 principles:1 decays:1 expect:2 30nm:1 combining:1 wavelength:1 transitions:1 eq:3 out:6 shown:5 space:2 since:6 rev:9 transforming:1 dominated:2 induced:1 cause:1 correct:1 shows:1 linear:3 interactions:2 favored:1 free:4 reason:1 york:1 e1:2 e2:2 pairs:1 interaction:3 created:4 transition:10 david:1 length:1 interact:1 first:6 note:4 symmetry:1 albertini:1 number:1 reaches:1 xy:1 directly:1 a2i:2 thick:2 accommodate:1 size:2 given:2 necessarily:1 temperature:3 likely:1 introduction:1 leading:1 top:4 system:3 parallel:1 eqi:5 their:1 assumption:3 constants:1 variational:1 mostly:1 exactly:1 serve:1 part:5 sign:1 than:2 coefficients:2 cheng:1 begins:1 200nm:1 polarized:1 determines:1 third:1 second:2 compensation:1 determined:3 evaporated:1 function:1 ansatz:1 fashion:1 fluctuation:5 modern:1 mater:2 tchernyshyov:3 need:1 seen:1 any:2 symmetrized:1 forced:1 strength:1 angle:4 donzelli:1 latter:1 polarization:1 liu:1 forces:1 finding:2 davies:1 klose:1 play:1 continuous:1 beyond:2 opposite:2 phases:2 algebraic:2 connected:1 phase:11 acknowledgements:1 milano:1 points:1 metastability:2 ky:1 kx:1 physics:1 sum:1 wavenumber:4 quantity:1 drastically:1 saslow:1 show:1 charles:1 solutions:3 thickness:23 d2:1 find:10 ground:1 fullerton:1 completes:2 analytic:2 only:2 transcendental:3 factor:1 local:4 do:1 dk:3 means:1 uniaxial:1 dz:7 nearly:3 progress:1 report:3 erickson:1 striped:2 boundary:8 closure:4 runs:2 arxiv:1 microscopy:1 garcia:1 shull:1 characteristic:1 qi:20 qm:2 ql:3 qn:1 laan:1 kernel:1 set:5 ary:1 unpublished:2 maximum:1 see:1 result:1 discussions:1 terms:3 surfaces:5 fails:1 away:1 definite:1 symmetric:5 state:7 various:1 between:3 αi:6 limit:5 αk:13 conditions:4 across:4 wide:1 recently:2 vertical:2 however:5 magn:4 configuration:1 come:1 marty:1 both:1 cos:4 limits:1 many:2 zeeman:1 kαi:2 baltimore:1 otherwise:1 rpt:9 point:5 color:1 dimensional:1 variety:1 lagrange:1 addition:1 due:1 been:3 ai:3 magnetized:3 cosine:2 combined:1 azimuthal:7 compensating:1 define:1 direction:12 nickel:1 observable:1 subspace:2 essentially:1 bulk:1 external:1 demand:1 denote:1 spin:5 applied:1 exception:1 look:1 pokrovsky:2 solid:2 value:5 will:5 while:3 ar:1 behavior:1 examines:2 vi:1 surface:1 iv:2 ii:2 itself:1 cond:2 increased:1 different:1 grant:1 same:3 durr:1 parts:1 arguments:1 samson:1 finite:1 higher:2 wheel:1 used:1 cubic:1 effect:1 infinite:1 changing:1 a2n:1 lower:3 modes:11 smallness:1 charges:5 changes:1 modeled:1 well:4 analysis:3 patterns:2 materials:1 solve:2 experimental:1 eigenmode:2 model:3 magnetization:18 just:1 less:1 being:1 shape:1 thanks:1 oriented:1 conclusions:1 wavevector:1 other:1 lett:1 versa:1 vii:1 around:3 breaks:1 repetitions:2 thicker:3 possible:1 dipolar:8 increases:6 canted:2 using:1 doniach:2 apart:1 necessary:1 like:4 sizes:1 loses:1 κcrit:5 unstable:3 become:2 starred:1 works:1 soft:1 page:2 parity:2 because:1 garel:2 namely:1 alternately:1 creation:1 some:3 competition:1 alternates:1 lead:1 bottom:4 shall:1 integration:1 critical:1 landscape:1 mode:11 γai:2 obey:1 plot:1 sixth:1 perpendicular:6 expansion:1 inherently:1 yafet:1 found:3 comparison:1 about:1 actual:1 ferromagnetic:5 hopkins:1 dependence:12 o:10 remains:1 range:2 berger:1 previously:1 into:5 johns:1 integral:2 bound:1 nsf:1 three:3 down:3 lies:2 determine:1 proportional:1 van:1 refinements:1 initial:7 long:3 width:1 much:1 was:2 lowest:10 form:3 kabanov:1 but:3 taken:1 gain:1 branch:1 helpful:1 line:4 true:1 made:3 zhu:2 mtrl:1 up:2 us:1 dmr:1 iqi:1 fluctuations:13 problem:1 similar:1 strongly:1 constant:2 defined:1 universal:1 describe:1 determinant:1 general:4 single:1 diverse:1 corresponding:1 dγ:2 film:27 compared:1 no:3 when:4 field:4 valid:2 normal:3 department:1 polar:3 reorientation:8 uniformly:5 variation:1 includes:1 deriving:2 important:2 allowing:1 complications:1 astronomy:1 structure:3 handley:1 sinh:5 hellwig:1 longer:1 vice:1 together:1 kashuba:1 appl:2 original:1
|
0705.2601.txt |@word represent:1 since:1 sci:6 chain:1 limited:1 rev:15 bull:1 brownian:1 results:13 four:4 ge:8 circuitry:1 york:1 controversial:1 constants:1 quasiperiodicity:1 contributions:1 assembled:3 causes:1 row:2 increase:1 inverse:2 depend:1 deterministic:23 γw:1 editors:1 mikosch:1 presents:5 finally:3 does:2 those:1 marks:1 stochastic:40 te:1 tc:11 case:6 jensen:1 kumar:2 very:9 dynamic:1 rise:1 wave:3 tersoff:2 probability:1 sons:1 interpreting:1 cardoso:1 experimentally:2 solver:1 condition:5 exponential:2 level:1 did:1 anisotropy:10 guo:1 scalar:1 t1:1 large:6 discrete:1 vector:4 wulff:1 small:4 enhance:3 inspection:1 noted:1 mn:3 bean:1 bo:1 trend:2 consistent:1 nucleation:1 sin2:3 prediction:2 approximation:3 second:6 design:1 value:8 defect:1 rowell:1 further:4 dynamics:2 implemented:2 substitute:1 theory:1 even:1 index:1 optimize:1 nonlinear:2 plays:1 appear:2 nano:1 giving:1 trivial:2 section:4 optoelectronics:2 while:2 expressed:1 current:2 grundmann:2 experiment:1 axel:1 issues:1 above:1 hull:1 new:3 contributes:1 method:8 3d:5 evolving:1 full:4 larson:1 oscillating:2 never:1 component:6 here:10 understanding:2 reported:2 deposition:4 free:3 directions:1 along:4 strong:1 equations:13 appears:6 differential:7 obtained:1 solid:4 golovin:1 clarify:1 technical:1 spontaneous:1 studied:1 transforms:1 periodic:2 resulting:3 published:1 usually:1 complicated:2 implement:2 fourier:12 makes:2 der:1 involves:1 plotted:2 engineer:2 via:2 stabilization:1 semiconductors:1 planar:2 outcomes:1 monolayers:1 armen:1 translational:1 apply:4 total:7 kobayashi:1 predicted:3 gaas:2 derivatives:1 use:1 john:1 additive:1 indicated:1 would:5 lemma:1 distinct:1 asta:1 coupled:1 predictions:5 e0:7 process:2 opposed:1 films:5 scope:1 stage:1 type:1 today:1 more:12 flat:5 owen:1 holy:2 becomes:1 company:1 under:1 about:2 curvature:1 lu:4 appendix:2 vn:1 sharply:2 stabilizing:1 known:1 cases:4 hold:1 producing:2 circle:1 evolves:1 springer:1 claims:1 augment:1 science:2 equation:10 work:3 ik:3 measures:1 cm2:1 zhao:1 erg:1 stabilizes:1 thin:4 lorke:1 substantiate:1 growing:3 lockwood:1 hansen:1 root:1 example:7 control:2 finland:1 joynt:1 wang:3 figure:5 give:4 predict:4 expanding:1 organized:1 indicates:4 assumptions:1 sakaki:1 allowed:1 times:1 occur:1 multilayers:1 native:1 end:2 eng:2 discussion:3 six:1 pedersen:1 roughness:4 how:2 friesen:1 fourth:1 significance:2 optimal:1 ordinary:2 sacrificed:1 parameter:1 ensemble:7 wolfram:1 simplicity:3 product:1 de:2 mat:4 may:3 after:1 averages:2 reflect:1 applications:3 produce:1 cambridge:1 horizontal:1 fk:2 meaningful:1 grow:1 types:1 si1:1 attempt:1 coarse:1 heteroepitaxial:3 onto:1 sw:4 correspond:1 element:1 perhaps:1 si:10 so:4 allow:2 correlation:37 definitions:1 order:69 superscript:1 interpretation:1 help:4 considerations:1 quasiperiodic:1 over:3 spectral:2 mainly:1 satisfied:1 interpreted:2 produced:1 course:4 thermal:13 experiments:2 through:2 statistical:3 mentioned:1 fidelity:1 arrangement:1 ieee:1 its:3 before:1 thomas:1 sciences:2 position:1 longitudinal:1 manuscript:1 fit:1 jia:1 chosen:3 lateral:1 complex:1 decreases:1 actually:1 jian:1 parts:2 systems:1 cotta:1 derivative:8 might:2 easier:2 yi:1 non:30 good:3 walle:1 greater:1 krishna:1 outlined:1 material:2 evolution:16 cuerno:1 effects:1 they:6 thanks:1 mao:1 now:2 yu:3 wiley:1 easily:2 february:1 finite:2 dirac:1 stabilize:1 predictor:1 university:3 presented:15 identified:1 imamoglu:1 2d:10 sufficiently:4 l2:3 mode:2 reasonable:1 each:3 2l:1 found:15 european:1 ryu:1 characterized:1 referred:1 homogeneous:1 square:1 evolve:3 series:3 energy:25 approximates:1 webber:1 carvalho:1 investigated:1 expect:4 exceeded:1 quantum:6 approximated:2 beyond:1 eq:18 vicinity:2 special:1 description:1 shown:2 matrix:1 3rd:1 factors:1 gradient:2 quantify:1 furthermore:1 closer:1 squared:1 denotes:1 semiconductor:1 conclusions:1 gaussians:2 performs:1 denoted:1 formula:1 electronics:2 dominate:1 ref:18 correct:1 shows:2 numerical:9 linear:59 lawrence:4 derived:3 gardiner:1 divergence:2 governing:5 solution:4 nth:2 completely:2 formation:7 term:4 estimate:2 spencer:4 generate:1 care:1 incorporates:2 derivation:3 dubbed:1 widths:1 could:4 transition:4 diminished:1 linearized:9 turn:2 length:13 plane:1 place:1 isotropic:3 incorporated:1 yun:1 davis:4 hsieh:1 neglected:1 shiryaev:1 facilitate:4 top:1 first:5 ding:2 initial:25 yong:1 symmetry:1 omitted:1 number:4 rank:1 transform:5 smaller:2 done:1 least:2 array:2 size:8 given:1 perturbation:2 temperature:1 reithmaier:1 indicate:1 introduction:1 eqs:4 system:2 relations:1 heights:3 their:1 assumption:3 1d:4 calculations:4 convention:1 aver:1 white:3 variational:1 final:1 observations:2 enhancing:2 centered:1 estimates:1 park:1 hui:1 transverse:2 part:4 bower:1 somewhat:1 natural:2 than:3 coefficients:1 diffusion:22 distance:1 perfectly:4 determines:1 edition:1 taken:1 approximations:3 yates:1 intensity:1 limiting:1 matter:1 future:2 yang:2 assume:1 amplitude:2 were:5 bauer:2 radius:1 rate:3 treated:2 enhancement:2 lowest:1 fig:6 fashion:4 com:1 shrinks:1 fluctuation:9 beck:1 spectrum:25 ming:1 substantiates:1 mater:3 seed:1 variable:2 qualitatively:4 need:1 ben:1 cumbersome:2 linked:1 karl:1 strength:2 zero:7 γk:2 convenient:1 self:5 dωk:1 annealing:1 onset:3 k2:2 k1:1 potential:21 nanoscale:1 k4:1 finding:1 able:1 require:1 accuracy:1 surf:2 formulas:1 play:1 elastically:2 normal:2 friedman:5 parallel:1 plugging:1 most:4 condens:1 quantitative:4 fluctuate:1 class:1 kc:17 forever:1 placement:1 treats:2 hk:20 discarding:1 average:15 steady:1 kn:4 ckk:8 mrs:1 looked:1 proceedings:1 points:1 velocity:1 ky:1 prefactor:3 quantifying:2 dot:4 quantity:1 precise:3 ge1:1 set:2 random:2 page:1 obtains:1 attempts:2 relation:8 hohenberg:1 threshold:1 atac:1 lott:1 d2:3 find:3 impact:1 cell:2 feng:1 based:7 nevertheless:1 parameters:3 chang:2 implementation:1 much:2 explain:1 enough:1 elucidated:1 should:8 analytic:1 only:11 version:1 krebs:1 factor:4 monolayer:1 constant:3 anneal:1 local:4 areal:3 peaked:3 handle:1 cheng:1 wide:1 dependent:1 zen:1 gex:1 liu:7 conjugate:1 nearly:1 drawn:1 during:6 averaged:1 hin:1 following:5 processes:3 substrate:8 twice:1 lagally:1 wavenumber:2 arxiv:2 expansions:1 whether:1 investigate:1 zhu:1 common:1 characteristic:2 ruins:1 valid:1 atomic:4 www:1 enhances:2 requirement:1 multiplying:1 res:1 bears:1 observed:3 bimberg:3 see:2 sec:12 result:5 enhanced:2 terms:2 sel:1 incorporating:1 techniques:1 surfaces:3 mario:1 still:1 extend:2 fang:1 diffusional:1 petroff:1 artificial:1 diverge:1 µm:1 4th:1 state:2 determined:1 various:2 epitaxial:2 wetting:17 conceptual:1 progress:1 justified:2 reading:1 conditions:14 gutierrez:1 gives:1 seeded:1 faceting:1 recently:1 useful:1 nature:1 initially:2 however:9 jr:1 implementing:1 wu:1 ji:1 key:2 2σk:2 analyzed:3 modeling:10 zhan:1 problem:1 σk:13 both:7 2θk:3 stages:4 improved:1 han:1 hiroyuki:1 efficiency:1 lcor:4 taking:5 density:10 equal:1 petersen:1 quantization:1 jin:1 grain:1 expression:2 finds:1 experimental:1 caflisch:2 arbitrarily:1 detailed:2 extent:1 cm:1 point:3 simple:7 ozkan:1 corresponds:2 ga1:2 height:34 variety:1 werner:1 simply:2 adaptation:1 article:1 inx:2 li:2 san:1 described:1 tuning:1 addition:2 create:1 due:2 been:5 extraction:1 pa:1 deposited:3 combined:1 basic:1 anisotropic:3 ann:1 partial:1 choose:1 dots:15 θk:3 direction:1 k3:1 corresponding:5 gray:1 quantities:1 formed:1 cos:2 locations:1 gao:2 understand:1 disruptive:1 niu:1 covered:1 present:5 applied:6 reciprocal:4 e45:1 indefinitely:1 single:1 evaluated:2 will:7 forchel:1 near:7 ought:1 behavior:1 volmer:1 eik:1 ross:2 extracts:1 procedure:3 graphed:2 opt:1 layer:1 vectors:2 orientation:1 yoon:1 intermixing:2 phenomenological:3 refs:9 contrasted:1 thus:15 them:1 surface:39 according:1 tu:1 regularity:1 vs:7 cond:2 discarded:1 zhang:5 k0:2 finance:1 different:4 russell:1 lengths:14 quadratic:1 cross:1 same:6 any:1 stranski:3 quant:1 gibbs:1 advances:1 dimensionless:8 gets:1 grows:3 difficult:2 development:6 fairly:2 calculation:2 used:10 http:1 peaks:5 solved:3 cubic:4 reporting:1 effect:6 possible:2 driven:1 nix:2 uses:2 purpose:1 kim:4 potentials:1 invariance:1 freund:1 fabrication:1 identity:1 ripening:5 bhattacharya:1 narrow:1 whereby:1 surrogate:1 pennsylvania:1 changes:1 modeled:3 well:3 analysis:8 materials:1 solve:2 components:5 simulated:2 coordinate:1 comparisons:1 model:54 chemistry:1 lin:1 eriksson:1 ck:12 nikiforov:1 just:5 less:2 generally:1 guided:1 obtain:1 rest:1 reviewed:1 schlom:1 voltage:1 predicts:1 world:1 spatially:1 stratonovich:1 previous:9 blow:1 note:4 corroborated:1 readers:1 wei:1 characterization:1 seems:1 advancement:2 lattice:1 diffusivity:3 lett:10 yakimov:1 extensive:1 euler:1 take:2 real:5 acta:1 fluctuating:1 around:1 depends:1 represents:1 phenomenology:2 iδ:1 early:4 possibly:3 increases:2 patterning:1 unification:1 brunner:1 press:2 using:16 advanced:1 mod:1 necessary:1 like:1 follows:1 arose:1 performing:1 levy:1 specific:1 flux:1 unstable:2 either:2 guise:1 view:1 multiplicative:1 become:2 soft:2 reasonably:1 mathematical:3 calculus:1 reaches:1 because:7 often:2 picture:2 interrelations:1 some:5 pierre:1 corroborate:2 trends:1 growth:28 examples:1 choosing:1 respect:5 heterostructures:1 possibilities:1 scale:6 describing:1 dimensions:1 lead:1 bottom:1 demonstrates:1 breakthroughs:2 qiang:1 recorded:1 integration:1 critical:11 provides:1 assuming:2 prog:1 volpi:1 demonstrated:1 limitations:1 noise:8 assembly:2 l0:6 power:1 rep:1 equivalent:3 predicting:2 strained:1 agreement:2 expansion:6 cryst:2 step:2 although:2 instability:1 refers:2 between:1 takes:1 chapter:1 comparison:1 limitation:2 uniformity:1 extension:1 simplify:1 discussed:4 dependence:7 o:5 simulation:7 practical:3 remains:1 plus:2 greatly:1 sokolov:1 tromp:1 stress:1 insufficient:1 mean:4 other:7 xu:3 differencing:1 discretization:3 computational:2 publishing:1 followed:1 inclusion:1 previously:2 preliminary:7 integral:1 elasticity:2 qian:1 included:1 appropriate:4 references:1 castro:1 determine:1 approximately:1 proportional:1 rossi:1 methods:5 van:2 elastic:15 area:2 assumed:4 strictly:1 there:7 approximate:4 fast:3 why:1 dispersion:9 influencing:1 handbook:1 liang:1 scientific:1 analyze:1 was:16 naturally:1 function:37 multiscale:5 complete:2 form:4 hr:1 jun:1 but:12 volume:2 disordering:1 correlated:3 incorporation:2 sampled:2 delta:1 convergence:1 hc:1 true:2 partially:1 directed:1 made:2 applying:1 qualitative:2 slope:1 arrays:4 mtrl:2 inside:1 up:2 quantitatively:3 equally:1 crystal:5 mth:2 suitable:1 autocorrelation:1 fluctuations:16 distribution:1 define:1 similar:8 calculated:8 multitime:4 mechanics:1 qin:1 ordered:4 worthwhile:1 defined:1 abstract:1 contribute:1 general:1 linearizing:2 engineering:2 khk:2 physica:2 simulations:2 crystals:2 mikkola:1 simplest:1 film:43 physical:2 physics:1 functions:3 compared:3 nm:11 xie:1 no:1 extract:2 mathematica:3 when:10 application:3 nz:3 interested:1 role:4 details:4 spatial:5 department:1 out:2 rodolfo:1 conclusion:1 poor:3 explaining:1 perpendicular:1 voorhees:4 congress:1 savage:1 models:17 shintani:1 fsw:22 inherently:1 includes:1 develops:3 important:6 peak:8 additionally:3 linearization:1 singapore:1 suresh:1 needed:1 structure:1 independently:2 kx:1 regime:1 uncoupled:1 dω:1 perturbatively:2 values:3 age:1 space:8 rule:1 fact:1 time:22 appl:10 starting:1 original:1 augmented:1
|
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.